Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.1 Composite Functions - 5.1 Assess Your Understanding - Page 254: 3


All real numbers except $-5$ and $5$.

Work Step by Step

We know that $x^2-25=(x+5)(x-5).$ The denominator cannot be $0$, hence $x+5\ne0$ and $x-5\ne0$, therefore $x\ne-5$ and $x\ne5$. Thus the domain is all real numbers except $-5$ and $5$.
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