Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter R - Review of Basic Concepts - R.5 Rational Expressions - R.5 Exercises: 12

Answer

$\color{blue}{(-\infty, -7) \cup (-7, +\infty)}$

Work Step by Step

The denominator of a rational expression is not allowed to be equal to zero as it will make the expression undefined. Thus, $x+7 \ne 0 \\x+7-7\ne0-7 \\x\ne -7$ The value of $x$ can be any real number except $-7$. Therefore, the domain of the given rational expression is the set of real numbers except $-7$. In interval notation, the domain is: $\color{blue}{(-\infty, -7) \cup (-7, +\infty)}$
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