Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 1 - Functions and Their Graphs - Section 1.1 Functions - 1.1 Assess Your Understanding - Page 54: 52


The domain is {$x\in \mathbb{R}|x\ne\pm2$}.

Work Step by Step

The domain determined by first looking for the values of $x$ for which the function is not defined. For a fraction to be defined the denominator can not equal to $0$: $x^2-4\ne0$ $x^2\ne4$ $x=\pm\sqrt4$ $x\ne\pm2$ This requirement can be applied to define the domain: Therefore the domain is {$x\in \mathbb{R}|x\ne\pm2$}.
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