Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 9 - Section 9.3 - Logarithmic Functions - Exercise Set: 47

Answer

$(-4, +\infty)$.

Work Step by Step

RECALL: The domain of the logarithmic function $f(x) = \log_a{x}$ is $x \gt 0$. Thus, the domain of the given function is the set of all real numbers such that: $x+4 \gt 0$. Solve the inequality to obtain: $x + 4 \gt 0 \\x \gt 0-4 \\x \gt -4$ Therefore, the domain of the given function is $(-4, +\infty)$.
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