Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 12 - Exponential Functions and Logarithmic Functions - 12.1 Composite Functions and Inverse Functions - 12.1 Exercise Set - Page 787: 21

Answer

$f(x)=x^{4},\ \quad g(x)=3x-5$

Work Step by Step

$h(x)$ equals the 4th power of (the difference of 3x and 5) So if we define $g(x)$ as (the difference of 3x and 5) and $f(x)$ as the (4th power of x) then $h(x)=f[g(x)]=(f\circ g)(x).$ $f(x)=x^{4},\ \quad g(x)=3x-5$
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