Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (fog)(x). Assume g(x) = x.) (a) F(x) = √√√7x + 6 {f(x), g(x)} = (b) G(x) = 18x - 71 {[ {f(x), g(x)} = (c) H(x) = (ax + b)² {f(x), g(x)} = {[ (d) T(X) = 1/√x {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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Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (fog)(x). Assume g(x) ‡ x.)
(a)
F(x) = √√√7x + 6
{f(x), g(x)} =
(b) G(x) = 18x 71
{f(x), g(x)} =
(c) H(x) = (ax + b)²
{f(x), g(x)} =
(d) T(x) = 1/√x
{f(x), g(x)} =
Transcribed Image Text:Express each function as a composition of two functions. (Find f(x) and g(x) such that the given function equals (fog)(x). Assume g(x) ‡ x.) (a) F(x) = √√√7x + 6 {f(x), g(x)} = (b) G(x) = 18x 71 {f(x), g(x)} = (c) H(x) = (ax + b)² {f(x), g(x)} = (d) T(x) = 1/√x {f(x), g(x)} =
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