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)} =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text: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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Transcribed Image Text: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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