Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 1 - Limits and Their Properties - 1.4 Exercises: 72

Answer

$f(g(x))$ is continuous for all values of x.

Work Step by Step

Using Theorem $1.12:$ $g(x)$ is continuous for any value of $x$ and $f(x)$ is continuous for any value of $x,$ hence $f(g(x))$ is continuous for all values of $x.$
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