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: 17

Answer

$\color{blue}{(-\infty, -1) \cup (-1, +\infty)}$

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, $x+1 \ne0 \\x\ne-1$ Therefore, the domain of the given rational expression is the set of real numbers except $-1$. In interval notation, the domain is: $\color{blue}{(-\infty, -1) \cup (-1, +\infty)}$
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