Answer
$(-\infty, -4) \cup (-4, +\infty)$
Work Step by Step
RECALL:
The denominator of a rational expression is not allowed to be equal to zero since division of zero is undefined.
Find the value of $x$ that will make the denominator 0 by equating the denominator to 0 and solving the equation to obtain:
$x+4=0
\\x=-4$
Thus, the value of $x$ cannot be $-4$.
This means that the domain of the variable is any real number except $-4$.
In interval notation, the domain of the variable is:
$(-\infty, -4) \cup (-4, +\infty)$
