Answer
This is true.
Work Step by Step
The composition of continuous functions is also a continuous function. The function $g(x)=|x|$ is continuous so if $f$ is continuous then the composition $$g\circ f (x)=g(f(x))=|f(x)|$$
is continuous.
Calculus: Early Transcendentals 8th Edition
by Stewart, James
Published by
Cengage Learning
ISBN 10:
1285741552
ISBN 13:
978-1-28574-155-0
Chapter 2 - Review - True-False Quiz - Page 166: 25
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