Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.1 Rational Functions and Variation - 7.1 Exercises - Page 567: 59

Answer

Domain: All real numbers except $x=-5$ and $x=-3$

Work Step by Step

The table shows that the function is undefined for $x= -3$ and $x= -5$. Hence, the domain is: $$ \begin{aligned} \textbf{Domain: }&\text{All real numbers}\\ &\textbf{except}\quad x= -3\quad \textbf{and}\ , x=-5 \end{aligned} $$ which can be written as $$(-\infty,-5)\cup (-5,-3)\cup(-3,\infty).$$
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