The Math Sorcerer. 860K subscribers. 562. 92K views 3 years ago College Algebra Online Final Exam Review. #18. How to Find the Function Compositions: (f o g) (x), (g o f) (x),...$\textbf{if and only if}$ there is a positive constant $\textbf{M}$ such that for all sufficiently large values of $\textbf{x}$ , the absolute value of $\textbf{f(x)}$ is at most $\textbf{M}$ multiplied by the absolute value of $\textbf{g(x)}$. That is $\textbf{f(x)} = \textbf{O(g(x))}$ if and only if there exists a positive real number ...Many people like the Chase Sapphire Preferred and Chase Sapphire Reserve credit cards for earning travel rewards, myself included. You can use the points you accumulate to purchase... The function is restricted to what value of x will make the total value under the radical greater than or equal to zero. This is because you cant square root a negative number to get a real value. So to find the domain of g (x) = radical x+3 Set x+3 >= 0 (>= means greater than or equal to) Solve x>= -3 So domain is [-3, infinity). Bachelors. Here we asked to compute G composed with G of X, which means take the function G of X, plug it in for X in itself, so what we'll do is take two X plus 7 and plug that in for X in the function two X plus 7. So out comes the X in goes the two X plus 7. And there we will use parentheses appropriately because it is multiplication.Jun 13, 2021 ... Here is the technique to find the function and how to solve it #Function #Calculus #Formula #Techniques.Apr 6, 2016. Given. XXXf (x) = x2 −1. and. XXXg(x) = x + 1. Note that (f ∘ g)(x) can be written f (g(x)) and that (g ∘ f)(x) can be written g(f (x)) (f ∘ g)(x) = f (g(x)) = g(x)2 − 1. …Find f(4). If x = 4, then f(4) = 4-- You find this by going right on the x-axis until you get to 4. Then, you go up until you hit the line that represents f(x). Then, you find the y-coordinate for this point. Find g(4). If x = 4, then g(4) = 0-- You find this similar to how you found f(4) except you find the point that is on the g(x) graph and ...Nov 20, 2012 · Determine the domain of a function composition by finding restrictions. How to find the domain of composed functions.Introduction to functions playlist on Yo... 🌎 Brought to you by: https://StudyForce.com🤔 Still stuck in math? Visit https://StudyForce.com/index.php?board=33.0 to start asking questions.Q1. Find f∘g∘...Find an answer to your question Find (gOf)(3) f(x)=3x-2 g(x)=x^2. For this case, the first thing we must do is the composition of functions.And we see that, at least at that point, g of x is exactly 1 higher than that. So g of 2-- I could write this down-- g of 2 is equal to f of 2 plus 1. Let's see if that's true for any x. So then we can just sample over here. Let's see, f of 4 is right over here. g of 4 is one more than that. f of 6 is right here. g of 6 is 1 more than that.Find the functions (a) f o g, (b) g o f, (c) f o f, and (d) g o g and their domains This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts.Now, suppose we have two functions, f(x) and g(x), and we want to form a composite function by applying one function to the output of the other. The composite function is denoted by (f o g)(x), which is read as “f composed with g of x”. The idea is that we first apply g to the input x, and then apply f to the output of g. So, (f o g)(x) = f ...Question 544555: Find (g o f)(3) if g(x) = 3x and f(x) = x - 3 Need help solving, I see the formula, but don't get it. (g o f)(3) = g(f(3)). We need to find f(3) first. f(x) = x - 3 f(3) = 3 - 3 f(3) = 0 We now know that f(3) = 0. g(f(3)) = 3x g(f(3)) = 3(0) g(f(3)) = 0 So, (g o f)(3) = 0. Answer by nyc_function(2741) (Show Source):Find (f g)(x) for f and g below. f(x) = 3x+ 4 (6) g(x) = x2 + 1 x (7) When composing functions we always read from right to left. So, rst, we will plug x into g (which is already done) and then g into f. What this means, is that wherever we see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)). 1About. Transcript. Functions assign outputs to inputs. The domain of a function is the set of all possible inputs for the function. For example, the domain of f (x)=x² is all real numbers, and the domain of g (x)=1/x is all real numbers except for x=0. We can also define special functions whose domains are more limited.Evaluate f ( 2 x) f ( 2 x) by substituting in the value of g g into f f. f ( 2 x) = 1 (2 x)+3 f ( 2 x) = 1 ( 2 x) + 3. Set the denominator in 2 x 2 x equal to 0 0 to find where the expression is undefined. x = 0 x = 0. Set the denominator in 1 (2 x)+3 1 ( 2 x) + 3 equal to 0 0 to find where the expression is undefined.How to Evaluate Function Composition. When a is in the second set of parentheses. Step 1. Plug in the inside function wherever the variable shows up in the outside function. The inside function is the input for the outside function. Step 2. Simplify the expression. (optional) Step 3. Plug in the input.1 Answer. (f ∘ g)(x) is equivalent to f (g(x)). So, g(x) is within f (x). So, g(x) = 8 − 4x and f (x) = x2. Hopefully this helps! (f @g) (x) is equivalent to f (g (x)). So, g (x) is within f (x). So, g (x) = 8 - 4x and f (x) = x^2. Hopefully this helps!Jun 13, 2021 ... Here is the technique to find the function and how to solve it #Function #Calculus #Formula #Techniques.Compute f o g and g o f. And determine for which constants a, b, c and d it is true that f o g = g o f (hint: polynomials are equal as functions if and only if they have the same coefficients) Here's what i did: so I set f o g = g o f.examined is not clear. A statement such as f(x,y) = O(g(x,y)) requires some additional explanation to make clear what is meant. Still, this problem is rare in practice. In addition to the big O notations, another Landau symbol is used in mathematics: the little o. Informally, f(x) = o(g(x)) means that f grows much slower than g and isACTUAL PROOF:. The main thing to notice is that it is fairly easy to prove that $$\forall n\in\mathbb N: h(n)>n$$ (this can be proven by induction).Google Classroom. Learn how to find the formula of the inverse function of a given function. For example, find the inverse of f (x)=3x+2. Inverse functions, in the most general sense, are functions that "reverse" each other. For example, if f takes a to b , then the inverse, f − 1 , must take b to a . Or in other words, f ( a) = b f − 1 ( b ...How To: Given a function composition \displaystyle f\left (g\left (x\right)\right) f (g (x)), determine its domain. Find the domain of g. Find the domain of f. Find those inputs, x, in the domain of g for which g (x) is in the domain of f. That is, exclude those inputs, x, from the domain of g for which g (x) is not in the domain of f.The symbol of a composite functionis '∘'. Sometimes it is represented by just using the brackets without using the symbols. For any two functions f and g, there can be two composite functions: 1. f of g of x = (f ∘ g)(x) = f(g(x)) 2. g of f of x = (g ∘ f)(x) = g(f(x)) We know that whenever we are simplifying some … See moreOct 16, 2020 · The Math Sorcerer. 860K subscribers. 562. 92K views 3 years ago College Algebra Online Final Exam Review. #18. How to Find the Function Compositions: (f o g) (x), (g o f) (x), (f o g)... The Function Composition Calculator is an excellent tool to obtain functions composed from two given functions, (f∘g) (x) or (g∘f) (x). To perform the composition of functions you only need to perform the following steps: Select the function composition operation you want to perform, being able to choose between (f∘g) (x) and (g∘f) (x). Algebra -> Quadratic-relations-and-conic-sections-> SOLUTION: I need to find the functions (f o g), (g o f),(f o f), and (g o g) and their domains for: 34. f(x) = x^2, g(x) = sqrt(x-3) 38. f(x) = x^2, g(x) = sqrt(x-3) 38. Determine Whether a Function is One-to-One. When we first introduced functions, we said a function is a relation that assigns to each element in its domain exactly one element in the range. For each ordered pair in the relation, each x-value is matched with only one y-value.. We used the birthday example to help us understand the definition.Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Free functions calculator - explore function domain, range, intercepts, extreme points and asymptotes step-by-step Feb 18, 2023 ... mathssolutions5135 #see #o.maths #class10 #maths Please subscribe our channel and learn more. please like and share among friends if you ...Question 544555: Find (g o f)(3) if g(x) = 3x and f(x) = x - 3 Need help solving, I see the formula, but don't get it. (g o f)(3) = g(f(3)). We need to find f(3) first. f(x) = x - 3 f(3) = 3 - 3 f(3) = 0 We now know that f(3) = 0. g(f(3)) = 3x g(f(3)) = 3(0) g(f(3)) = 0 So, (g o f)(3) = 0. Answer by nyc_function(2741) (Show Source): How to Find f o g and g o f From the Given Relation. Definition : Let f : A -> B and g : B -> C be two functions. Then a function g o f : A -> C defined by (g o f) (x) = g [f (x)], for all x ∈ A is called the composition of f and g. Note : : It should be noted that g o f exits if the range of f is a subset of g. The Math Sorcerer. 860K subscribers. 562. 92K views 3 years ago College Algebra Online Final Exam Review. #18. How to Find the Function Compositions: (f o g) (x), (g o f) (x),...I know that: (f ∘ g) = f(g(x)) ( f ∘ g) = f ( g ( x)) however I'm not sure if the brackets in my equations make a difference to this new function. short answer: yes! Function composition is associative, so (f ∘ g) ∘ f = f ∘ (g ∘ f) = f ∘ g ∘ f ( f ∘ g) ∘ f = f ∘ ( g ∘ f) = f ∘ g ∘ f.How to find the composition of functions and its domain? A tutorial including detailed explanations is presented. Questions with answers are also included at the end of this page.Math >. Precalculus >. Composite and inverse functions >. Composing functions. Evaluating composite functions: using graphs. Google Classroom. About Transcript. Given the graphs of the functions f and g, Sal evaluates g (f (-5)). Questions Tips & Thanks. How To: Given a function composition \displaystyle f\left (g\left (x\right)\right) f (g (x)), determine its domain. Find the domain of g. Find the domain of f. Find those inputs, x, in the domain of g for which g (x) is in the domain of f. That is, exclude those inputs, x, from the domain of g for which g (x) is not in the domain of f. 1. If the functions f f and g g are both bijections then the in inverse of the composition function (f ∘ g) ( f ∘ g) will exist. Show that it will be (f−1 ∘g−1) = (g ∘ f)−1 ( f − 1 ∘ g − 1) = ( g ∘ f) − 1. For the proof assume f: A → B f: A → B and g: B → C g: B → C. Here's the proof I have worked out so far:The domain of a composite function is the intersection of the domains of the functions involved. In other words, to find the domain of a composite function (f ∘ g)(x), Find the domain of g(x). Find the domain of f(x). Find the x inputs in the domain of g that are also in the domain of f. These x inputs comprise the domain of (f &compfn ...$\textbf{if and only if}$ there is a positive constant $\textbf{M}$ such that for all sufficiently large values of $\textbf{x}$ , the absolute value of $\textbf{f(x)}$ is at most $\textbf{M}$ multiplied by the absolute value of $\textbf{g(x)}$. That is $\textbf{f(x)} = \textbf{O(g(x))}$ if and only if there exists a positive real number ...Suppose f were O(g). Then there is a positive constant c and an n0 such that for n >= n0, f(n) <= c * g(n). Let n' be an odd integer greater than or equal to n0.Given f(x) = 3x + 2 and g(x) = -2x2+4 Find f(g(2)) What would you do in order to solve? Explain in words the process to solving f(g(2)). How is that different than g(f(2))? I really don't understand this question or how to do problems like this. I've tried to look online, but don't even know what to search. Thank you for your help! Assuming that 𝑔 is a linear polynomial function in 𝑥. Then we have: 𝑔 (𝑥 + 6) = 5𝑥 + 8. The variable we use doesn't matter, so to avoid confusion, we will write this functional equation in 𝑘 instead of 𝑥: 𝑔 (𝑘 + 6) = 5𝑘 + 8. Since 𝑘 ∈ ℝ, we let 𝑘 = 𝑥 – 6 where 𝑥 ∈ ℝ. f(x) = O(g(x)) if and only if limit [x -> a+] |f(x)/g(x)| < infinity, for some a And he wants you to plug in g(x) = k f(x) and prove that that inequality holds. The general argument you posted might get you partial credit, but it is reasoning rather than mathematics, and the question is asking for mathematics.The highlighting feature in iBooks helps you keep track of important information and favorite passages in the e-books you read. The steps to highlight a passage are quite intuitive...Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have(f\:\circ\:g) f(x)- . = + Go. Steps Graph Related Examples. Verify your Answer. Subscribe to verify your answer Subscribe Save to Notebook! Sign in to save notes ... g o f. en. Related Symbolab blog posts. My Notebook, the Symbolab way. Math notebooks have been around for hundreds of years. You write down problems, solutions and notes to go back...It is important to know when we can apply a composite function and when we cannot, that is, to know the domain of a function such as f ∘g f ∘ g. Let us assume we know the domains of the functions f f and g g separately. If we write the composite function for an input x x as f (g(x)) f ( g ( x)), we can see right away that x x must be a ...Delta's Premium Select cabin is starting to roll out on its 777-200ER aircraft. How does the premium economy product stack up? Update: Some offers mentioned below are no longer ava... The function is restricted to what value of x will make the total value under the radical greater than or equal to zero. This is because you cant square root a negative number to get a real value. So to find the domain of g (x) = radical x+3 Set x+3 >= 0 (>= means greater than or equal to) Solve x>= -3 So domain is [-3, infinity). 19th-Century Railroad Labor Issues - Railroad labor issues like discrimination and pay disputes came to a head in events like the Strike of 1877. Learn about railroad labor issues ...Solution. If we look at the expression f ( g ( x)) , we can see that g ( x) is the input of function f . So, let's substitute g ( x) everywhere we see x in function f . f ( x) = 3 x − 1 f ( g ( x)) = 3 ( g ( x)) − 1. Since g ( x) = x 3 + 2 , we can substitute x 3 + 2 in for g ( x) .ƒ (g ( x2 ))) =ƒ (3 ( x2) + 1) = ƒ ( 3x2 + 1) Next, plug in the new function into ƒ. = 3x2 +1 −2 2(3x2 + 1) + 1. = 3x2 −1 6x2 +3. Answer link. In this problem, ƒ o g o h = ƒ (g (h (x))) Start out by plugging h into g. ƒ (g (x^2))) =ƒ (3 (x^2) + 1) = ƒ (3x^2 + 1) Next, plug in the new function into ƒ. = (3x^2 + 1 - 2) / (2 (3x^2 ...dxd (x − 5)(3x2 − 2) Integration. ∫ 01 xe−x2dx. Limits. x→−3lim x2 + 2x − 3x2 − 9. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.Math >. Precalculus >. Composite and inverse functions >. Composing functions. Evaluating composite functions: using graphs. Google Classroom. About Transcript. Given the …The term “composition of functions” (or “composite function”) refers to the combining of functions in a manner where the output from one function becomes the input for the next function. In math …Find (f o f ) (x) Hi, I need to know if my answer is right. f(x)=(3x+2)/(x-3). Find (f o f ) (x) . ... Madeline G. 5 (441) Vikas S. 5.0 (363) See more tutors. find an online tutor. Complex Analysis tutors; Linear Programming tutors; Functional Programming tutors; Boolean Algebra tutors;2. a) find (f o g) (x) and (g o f) (x), in that order. b) What does part a illustrate about composition? Compositions are associative. Compositions are commutative. Compositions are not associative. Compositions are not commutative. 3. Functions f ( x) and g ( x) are defined as shown in the tables at the right.FIRST TRUST/DOW JONES DIVIDEND & INCOME ALLOCATION PORTFOLIO CLASS II- Performance charts including intraday, historical charts and prices and keydata. Indices Commodities Currenci...Gibbs free energy, denoted G, combines enthalpy and entropy into a single value. The change in free energy, ΔG, is equal to the sum of the enthalpy plus the product of the temperature and entropy of the system. ΔG can predict the direction of the chemical reaction under two conditions: constant temperature and. constant pressure.Find (f g)(x) for f and g below. f(x) = 3x+ 4 (6) g(x) = x2 + 1 x (7) When composing functions we always read from right to left. So, rst, we will plug x into g (which is already done) and then g into f. What this means, is that wherever we see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)). 1Google Classroom. Learn how to find the formula of the inverse function of a given function. For example, find the inverse of f (x)=3x+2. Inverse functions, in the most general sense, are functions that "reverse" each other. For example, if f takes a to b , then the inverse, f − 1 , must take b to a . Or in other words, f ( a) = b f − 1 ( b ...Apr 6, 2016 · How do you find (f o g)(x) and its domain, (g o f)(x) and its domain, (f o g)(-2) and (g o f)(-2) of the following problem #f(x) = x^2 – 1#, #g(x) = x + 1#? About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features NFL Sunday Ticket Press Copyright ...Nov 20, 2012 · Determine the domain of a function composition by finding restrictions. How to find the domain of composed functions.Introduction to functions playlist on Yo... Advertisement. The four function operations are the same as the four operations in basic arithmetic; namely, addition, subtraction, multiplication, and division. These are called "binary" operations because you're taking two things (functions, in this case) and putting the operation symbol between them. You can add one function to another ...Nov 20, 2014 · 3. actually you have two equivalent ways to answer this problem , The first one is to find g (1) then substitute the value pf g (1) in any x in the f (x) The other way , as you and @Panphobia said , is to do it like : f (x o g) (1) = 2g (1)+3. . . They are equivalent , you will get the same answer .. (: Well, h(x) is f(g(x)), and f(g(x)) is simply the function f, but you replace the x's in the equation with g(x). Let's see what that is: h(x) = f(g(x)) = g(x) + 5/3 = -2x 2 + 5/3. So the question said to find (read: make up) two functions f and g so that f(g(x)) = -x 2 + 5/3 - x 2. Welp, we found those two functions. They are g(x) = -x 2 and f(x ... The big O notation means that you can construct an equation from a certain set, that would grow as fast or faster than the function you are comparing. So O (g (n)) means the set of functions that look like a*g (n), where "a" can be anything, especially a large enough constant. So for instance, f(n) = 99, 998n3 + 1000n f ( n) = 99, 998 n 3 ... Now, suppose we have two functions, f(x) and g(x), and we want to form a composite function by applying one function to the output of the other. The composite function is denoted by (f o g)(x), which is read as “f composed with g of x”. The idea is that we first apply g to the input x, and then apply f to the output of g. So, (f o g)(x) = f ...The Function Composition Calculator is an excellent tool to obtain functions composed from two given functions, (f∘g) (x) or (g∘f) (x). To perform the composition of functions you …Prerequisite: Asymptotic Notations Assuming f (n), g (n) and h (n) be asymptotic functions the mathematical definitions are: Properties: Reflexivity: If f (n) is given then. Example: If f (n) = n 3 ⇒ O (n 3) Similarly, Symmetry: Example: If f (n) = n 2 and g (n) = n 2 then f (n) = Θ (n 2) and g (n) = Θ (n 2 ) Proof: Necessary part: f (n ...g(x) = 2x + 1. f(x) = 4x - 1 (g o f)(x) = 2(4x-1) + 1 which simplifies to (g o f)(x) = 8x - 1. Now plug in the 2: (g o f)(2) = 8(2) - 1 = 15. This method is useful if you will be using the composition of functions multiple times, such as (g o f)(1), (g o f)(2), etc. Note that since you haven't solved for x in function f, the x from that ...f of x is equal to 2x squared plus 15x minus 8. g of x is equal to x squared plus 10x plus 16. Find f/g of x. Or you could interpret this is as f divided by g of x. And so based on the way I just said it, you have a sense of what this means. f/g, or f divided by g, of x, by definition, this is just another way to write f of x divided by g of x.Well, h(x) is f(g(x)), and f(g(x)) is simply the function f, but you replace the x's in the equation with g(x). Let's see what that is: h(x) = f(g(x)) = g(x) + 5/3 = -2x 2 + 5/3. So the question said to find (read: make up) two functions f and g so that f(g(x)) = -x 2 + 5/3 - x 2. Welp, we found those two functions. They are g(x) = -x 2 and f(x ...f(x)=2x+3,\:f(x+3) f(x)=2x+3,\:g(x)=-x^2+5,\:g(f(x+3)) f(x)=2x+3,\:g(x)=-x^2+5,\:f(g(x)) f(x)=2x+3,\:g(x)=-x^2+5,\:f\circ \:g ; f(x)=2x+3,\:g(x)=-x^2+5,\:(f\circ \:g)(2) Show MoreStrictly speaking, you have only proven that f+g is bounded by a constant-factor multiple of g from above ( so f+g = O(g) [Big-O]) - to conclude asymptotic equivalence you have to argue the same from below. The reasoning you gave applies to f = O(g), f != o(g) too and does not exploit the stronger condition for Litte-O. –Now, suppose we have two functions, f(x) and g(x), and we want to form a composite function by applying one function to the output of the other. The composite function is denoted by (f o g)(x), which is read as “f composed with g of x”. The idea is that we first apply g to the input x, and then apply f to the output of g. So, (f o g)(x) = f ...
How to compose a linear function with itself. Substitute the linear function into itself.Introduction to functions playlist on YouTube: https://www.youtube.c.... Labcorp brown road
In this video we learn about function composition. Composite functions are combinations of more than one function. In this video we learn about f(g(x)) and g...If f and g are one-to-one functions on a set A, and for any elements x and y belonging to A if: f(x)+f(y)=f(x+y) & g(x)+g(y)=g(x+y) is it true that f o g = g o f ? If so, please show why. Otherwise what are sufficient conditions for any functions m and p to commute, i.e. m o p = p o m.1. If the functions f f and g g are both bijections then the in inverse of the composition function (f ∘ g) ( f ∘ g) will exist. Show that it will be (f−1 ∘g−1) = (g ∘ f)−1 ( f − 1 ∘ g − 1) = ( g ∘ f) − 1. For the proof assume f: A → B f: A → B and g: B → C g: B → C. Here's the proof I have worked out so far:Purplemath. Composition of functions is the process of plugging one function into another, and simplifying or evaluating the result at a given x -value. Suppose you are given the two functions f(x) = 2x + 3 and g(x) = −x2 + 5. Composition means that you can plug g(x) into f(x), (or vice versa).How do you find the output of the function #y=3x-8# if the input is -2? What does #f(x)=y# mean? How do you write the total cost of oranges in function notation, if each orange cost $3?Algebra. Find fog and gof. f (x) = /x + 6, g (x) = x² (a) fog (b) gof Find the domain of each function and each composite function. (Enter your answers using interval notation.) domain of f domain of g domain of fog domain of g of. Find fog and gof. f (x) = /x + 6, g (x) = x² (a) fog (b) gof Find the domain of each function and each composite ...In this video, I show you how to compose a function onto itself repeatedly, using a function containing a fraction as an example.WHAT NEXT: Piece-wise Funct...Smog-choked skies in Asian cities are nothing new, but this winter is shaping up to be a particularly bad one for air quality. In the absence of an easy fix, some citizens are gett...How to find the composition of functions and its domain? A tutorial including detailed explanations is presented. Questions with answers are also included at the end of this page.Given f (x) = x 2 + 2 x f (x) = x 2 + 2 x and g (x) = 6 − x 2, g (x) = 6 − x 2, find f + g, f − g, f g, f + g, f − g, f g, and f g. f g. 6 . Given f ( x ) = − 3 x 2 + x f ( x ) = − 3 x 2 + x and g ( x ) = 5 , g ( x ) = 5 , find f + g , f − g , f g , f + g , f − g , f g , and f g . f g .Composition is a binary operation that takes two functions and forms a new function, much as addition or multiplication takes two numbers and gives a new number. However, it is important not to confuse function composition with multiplication because, as we learned above, in most cases \ (f (g (x)) { eq}f (x)g (x)\). Step 1 : When each relation is given in the form of set of ordered pairs. Represent each relation f and g as arrow diagram. Step 2 : To understand the composition better, let us consider the example. f (0) = 1 and g (1) = 3. Then, fog (0) = 3. Here 0 is associated with 1 in the function f. 1 is associated with 3 in the function g. So g = o(f) g = o ( f) gives g = εf g = ε f, where ε → 0 ε → 0. so f + g = f(1 + ε) f + g = f ( 1 + ε) and 1 + ε → 1 1 + ε → 1. This last gives you possibility to obtain (f + g) ≤ Cf ( f + g) ≤ C f, which you want. Share. Cite. edited Sep 21, 2020 at 3:48. answered Sep 21, 2020 at 3:13. zkutch. 13.4k 2 16 28. could you ....
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