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: 26

Answer

Domain: All real numbers; $x \ne -2$

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