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: 67


$(-\infty, 5) \cup 5, +\infty)$

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: $x-5=0 \\x=5$ Thus, the value of $x$ cannot be 5. This means that the domain of the variable is any real number except 5. In interval notation, the domain of the variable is: $(-\infty, 5) \cup (5, +\infty)$
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