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: 39

Answer

$a. f(x)=sin^2x $ $ say, h(x) = x+1$ $and, g(x)=sin^2(x-1)$ $Therefore, f(x) = g(h(x))$ $b. f(x)=3/(5+cosx) $ $ say, h(x) = 5+cosx$ $and, g(x)=3/x$ $Therefore, f(x) = g(h(x))$

Work Step by Step

$a. f(x)=sin^2x $ $ say, h(x) = x+1$ $and, g(x)=sin^2(x-1)$ $Therefore, f(x) = g(h(x))$ $b. f(x)=3/(5+cosx) $ $ say, h(x) = 5+cosx$ $and, g(x)=3/x$ $Therefore, f(x) = g(h(x))$
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