Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 4 - Polynomial and Rational Functions - 4.2 Properties of Rational Functions - 4.2 Assess Your Understanding - Page 197: 26

Answer

All real numbers except $-2$.

Work Step by Step

Note that $x^2+4x+4=(x+2)^2.$ Since the denominator cannot be $0$, then: $x+2\ne 0\\ x\ne0-2\\ x\ne -2$ Hence, the domain is all real numbers except $-2$.
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