College Algebra (10th Edition)

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

Chapter 5 - Section 5.2 - Properties of Rational Functions - 5.2 Assess Your Understanding: 17

Answer

All real numbers; $x \ne 2, x \ne -4$

Work Step by Step

The domain of the function is all real numbers, except for when the denominator is 0. Thus, we let the denominator equal 0: $$ (x-2)(x+4)=0 \\ x=2, -4$$ Thus, we know that x cannot equal 2 or -4.
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