Answer
$(-\infty, 5) \cup 5, +\infty)$
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:
$x-5=0
\\x=5$
Thus, the value of $x$ cannot be 5.
This means that the domain of the variable is any real number except 5.
In interval notation, the domain of the variable is:
$(-\infty, 5) \cup (5, +\infty)$
