Answer
$C$
Work Step by Step
Recall that in $f(x)=\log_a{x}, x \gt 0$.
Thus, in the given function, $x+2$ must be greater than $0$.
Hence, $x+2\gt 0$.
Subtracting $2$ from both sides gives $x\gt -2$.
Therefore, the correct answer is $C$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 294: 10
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