Calculus: Early Transcendentals 9th Edition

Published by Cengage Learning
ISBN 10: 1337613924
ISBN 13: 978-1-33761-392-7

Chapter 1 - Section 1.1 - Four Ways to Represent a Function - 1.1 Exercises - Page 20: 48

Answer

Domain: $\{x|x\neq2\}$

Work Step by Step

The value of the function is underfined when the denominator is equal to $0$, which takes place when $x=2$. Therefore, domain is $\{x|x\neq2\}$. However, we can also cancel it out as follows, $\frac{(x-2)(x+2)}{x-2}=x+2$, which means this is a removable discontinuity. See the graph of the function.
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