Suppose that f: X→Y and g: Y→Z are functions. Please teach me how to write the convers and inverse of the following statement. And what is a counter example of the converse? If both f and g are one-to-one, then g(f(x)): X→Z is one to one.

Q: 8) Find the inverse of the following function. f (x) = {(-3,6), (-2,5), (4, 2), (–4, 1), (5, – 5)}

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Q: Show that f(x) = √æ³ + 1 is a one-to-one function. Then find its inverse.

A: We have given function fx=x3+15 fx1=x13+15 fx2=x23+15 Put fx1=fx2 x13+15=x23+15 x13+1=x23+1 x13=x23…

Q: Find the domain and nange of the inverse of f(x) V+3

A: We have to find

Q: Determine the domain of the function 2x f(x) = 1+ x Is the function f injective? If the answer is…

A:

Q: B. Verify if the given pair of functions are inverses of each other. 1. fa) = and g(x) = 7x+ x-7 x-2

A: The solution is given as

Q: Let f(x) be a function which has inverse. If f(3)=8 then f-1(8) equals a. 8 b. -5 c. 5 d. 3

A: It is given that,  f(3)=8 f-1(8)=?

Q: Given the function fAx) = -x - 4, which of the following is a restriction on its inverse function,…

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Q: Determine if the following functions are inverses of each other. 4 - x 27) f(x) = and g(x) = 4- 8x |…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: B. Compose the function f and g and determine, from your answer, if the functions f and g are…

A: This question is based on Sets and Relation.

Q: Express the function as a composition of two simpler functions. y = √x +3 Select each pair of…

A: To express the following function as a composition of two simpler functions.

Q: a. Find the inverse of the function below on the given interval and write it in the form y=f'(x). b.…

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Q: Suppose that g and h are inverse functions, and that g(–50) = 25, evaluate h(25)

A: It is given that g and h are inverse functions and- g-50=25

Q: C. Use the composition of function to verify if the given pairs are inverses of each other. 1. S(x)…

A: Note: According to our guidelines we can solve only first three subparts and rest can e…

Q: Given the function f (x) = 1/3 x2 - 6x + 5 determine the inverse relation

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Q: The cost C in dollars of manufacturing x bicycles at a production plant is given by the function…

A: topic- application of derivatives

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each…

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Q: A. Show the following function pairs are inverses: 1. f(x) = x2 and g(x) = V x, 2. f(x) = and g(x) =…

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Q: 3. Determine all the roots (real or complex) of the polynomial p(x) = 2x4+13x³+27x2+13x-15.

A: Since you have posted multiple questions. As per guidelines, we"ll solve only first question. If you…