Answer
$(-3, +\infty)$
Work Step by Step
RECALL:
The logarithmic function $f(x) = \log_a{(x+h)}$ is defined only when $x+h$ is greater than $0$.
This means that the given function is only defined when $x+3$ is greater zero.
Thus,
$x+3 \gt 0
\\x \gt 0-3
\\x \gt -3$
Therefore, the domain of the given function is $x \gt -3$
In interval notation, the domain is $(-3, +\infty)$.
