Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 0 - Before Calculus - 0.2 New Functions From Old - Exercises Set 0.2: 36

Answer

$f(g(h(x)))=x/(1+x)$

Work Step by Step

$f(g(h(x)))= f(g(1/x^3))=f \sqrt[3] (1/x^3)= f(1/x)=1/(1+(1/x))=\boxed{x/(1+x)}$
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