10. (a) Describe the transformations of y = x³ into the function f(x) = 8(x-1)³ -5. = (b) Describe the transformations of y=√x into the function g(x): -√√x+5+1. (c) Use the functions in parts (a) and (b) above to show the steps of finding and simplifying (fog)(x) and (gof)(x).

Q: Find f(a), f(a+h), and the difference quotient for the function given below.

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Q: how do I find the inverse of f(x) = 2(√x) + x^3

A: Given is the function .The objective is to determine the inverse function.Concepts used:The inverse…

Q: G(x)=x-4/x+2 (find the inverse of the function)

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Q: Explain why both f (x) = x/ (1- x4) and g(x) = p are algebraic g(x) = -x / √(1-x4) functions.

A: f(x)=x1-x4 and g(x)=-x1-x4

Q: Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.   f(x)=x−−√x+8,…

A: Given: fx=x-x+8 and gx=x2+9 The objective is to find f(g(x)) and g(f(x)).

Q: f(x) = 2x4 + 2x³ – x² + 2x +3 and g(x) = x + 1 find (승)(2) and (-4).

A: fgx=f(x)g(x)=2x4+2x3-x2+2x+3x+1

Q: f(x) = x* + x³ – 2x² What is the domain of the function given above?

A: We have to find the domain of the given function

Q: Make the composition (f o g) (x) with the function f (x) = x ^ 2 + 2 -2 and g (x) = √x

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Q: Find the inverse of f(x) = (x - 10)/(x + 10).

A: Given: fx=y=x-10x+10 for finding inverse of given function, we find x in terms of y then replace x…

Q: 25. Kinetic energy If a variable force of magnitude F(x) moves an object of mass m along the x-axis…

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