Answer
$(f \circ f)(x) = x$
Work Step by Step
Given \(f(x) = -x\), we compute \((f \circ f)(x)\) by plugging \(f(x)\) into \(f\) again:
\[
(f \circ f)(x) \;=\; f\bigl(f(x)\bigr) \;=\; f(-x) \;=\; -(-x) \;=\; x.
\]
Discrete Mathematics with Applications 4th Edition
by Epp, Susanna S.
Published by
Cengage Learning
ISBN 10:
0-49539-132-8
ISBN 13:
978-0-49539-132-6
Chapter 7 - Functions - Exercise Set 7.3 - Page 427: 5
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