Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - Strengthen Your Understanding - Page 113: 9



Work Step by Step

Assume that $g(x)$ can equal zero for some $x$. This means that $g(x)=0$, or $$0=\frac{3}{\sqrt{x^2+4}}$$ There doesn't exist a number that can divide $3$ into zero, however. Thus, $g(x)$ can never be zero. The statement is true.
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