Answer
$g(x)=2x+x^{2}$
$f(x)=x^{4}$
Work Step by Step
Separating the function into two processes:
1. $g(x)=2x+x^{2}$
2. $f(g(x))=f(2x+x^{2})=(2x+x^{2})^{4}=(g(x))^{4}$
$f(x)=x^{4}$
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 1 - Section 1.3 - New Functions from Old Functions - 1.3 Exercises - Page 44: 43
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