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: 23

Answer

The domain of the given function is the set of all real numbers.

Work Step by Step

The denominator of a rational function cannot be $0$, hence $x^2+4$ should not be equal to $0$. However, the value of $x^2+4$ will never be equal to zero since the value of $x^2$ is always non-negative for real numbers, making the value of $ x^2+4$ always positive. Thus, the domain of the given function is the set of all real numbers.
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