College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.1 - Functions - 3.1 Assess Your Understanding: 3

Answer

$(-\infty, -4) \cup (-4, +\infty)$.

Work Step by Step

The denominator cannot be equal to zero since division of zero gives an undefined expression. Thus, in the given expression, $x$ cannot be $-4$ since it will make the denominator zero. Therefore, the domain of the given expression is any real number except $-4$. In interval notation, the domain is: $(-\infty, -4) \cup (-4, +\infty)$.
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