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 - Page 53: 12


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

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: $\color{blue}{(-\infty, -7) \cup (-7, +\infty)}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.