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: 25

Answer

Domain: All real numbers; $x \ne \pm 3$

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: $$ 4(x^2-9) =0 \\ 4x^2 -36 =0 \\ x^2 =9 \\ x= \pm 3 $$ Thus, we know that x cannot equal 3 or -3. Domain: All real numbers; $x \ne \pm 3 $
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