For f(x) = x - 4 and g(x) = 5x² -2, find the following functions.a. (fog)(x); b. (gof)(x); c. (f o g)( − 1); d. (gof)( − 1)a. (fog)(x) = (Simplify your answer.)b. (gof)(x) =(Simplify your answer.)c. (fog)(-1)=(Simplify your answer.)d. (gof)(-1) =(Simplify your answer.)

Answered: For f(x)=x-4 and g(x) = 5x²-2, find the…

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For f(x)=x-4 and g(x) = 5x²-2, find the following functions. (fog)(x); b. (gof)(x); c. (f o g)( − 1); d. (gof)(− 1)

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.7: Inverse Functions

Problem 2SE: Why do we restrict the domain of the function f(x)=x2 to find the function's inverse?

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Question

For f(x) = x - 4 and g(x) = 5x² -2, find the following functions.
a. (fog)(x); b. (gof)(x); c. (f o g)( − 1); d. (gof)( − 1)
a. (fog)(x) = (Simplify your answer.)
b. (gof)(x) =
(Simplify your answer.)
c. (fog)(-1)=
(Simplify your answer.)
d. (gof)(-1) =
(Simplify your answer.)

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