Answer
False, see explanations.
Work Step by Step
False. If $f(x)=x^2-4$ and $g(x)=\sqrt {x^2-4}$, then $(f\circ g)(x)=x^2-8$ and $(f\circ g)(5)=17$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 1 - Section 1.7 - Combinations of Functions; Composite Functions - Exercise Set - Page 260: 114
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