Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 4 - 4.1 - Rational Functions and Asymptotes - 4.1 Exercises - Page 315: 22


Domain: $x \ne \pm 3$ Vertical asymptotes: $x=3$ Horizontal asymptotes: $y=0$

Work Step by Step

Domain: $x^2 -9 \ne 0$ $x^2 \ne 9$ $x \ne \pm3$ Identify vertical asymptotes: $\frac{x+3}{x^2 -9}=\frac{x+3}{(x-3)(x+3)}= \frac {1}{x-3}$ $x=3$ Identify any horizontal asymptotes: $f(x) \rightarrow 0$ as $x\rightarrow \infty$ $y=0$
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