Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (f o g)(x). Assume g(x) = x.) (a) F(x) = √√2x + 6 {f(x), g(x)} = (b) G(x) = 15x - 71 {f(x), g(x)} = (c) H(x) = (ax + b)5 {f(x), g(x)} =

Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (f o g)(x). Assume g(x) = x.) (a) F(x) = √√2x + 6 {f(x), g(x)} = (b) G(x) = 15x - 71 {f(x), g(x)} = (c) H(x) = (ax + b)5 {f(x), g(x)} =

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

Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (f o g)(x). Assume g(x) ‡ x.)
(a) F(x) = ³√√2x + 6
{f(x), g(x)}
(b) G(x) = 5x 71
{f(x), g(x)}
=
(c) H(x) = (ax + b)5
{f(x), g(x)} =
(d)
{f(x), g(x)}
T(x) = 6/√x
=

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Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (f o g)(x). Assume g(x) = x.)
(a) F(x) = √√√2x + 6
{f(x), g(x)} =
(b) G(x) = 15x - 71
{[
{f(x), g(x)} =
{[
(c) H(x) = (ax + b)5
{[
{f(x), g(x)} =
(d) T(x) = 6/√x
{f(x), g(x)} =

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