College Algebra (10th Edition)

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

Chapter R - Section R.2 - Algebra Essentials - R.2 Assess Your Understanding - Page 27: 69


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

Work Step by Step

RECALL: The denominator of a rational expression is not allowed to be equal to zero since division of zero is undefined. Find the value of $x$ that will make the denominator 0 by equating the denominator to 0 and solving the equation to obtain: $x+4=0 \\x=-4$ Thus, the value of $x$ cannot be $-4$. This means that the domain of the variable is any real number except $-4$. In interval notation, the domain of the variable is: $(-\infty, -4) \cup (-4, +\infty)$
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