Answer
$\color{blue}{(-\infty, 5) \cup (5, +\infty)}$
Work Step by Step
The denominator of a rational expression is not allowed to be equal to zero as it will make the expression undefined.
Thus,
$x-5\ne0
\\x \ne5$
This means that the value of $x$ can be any real number except $5$.
Therefore, the domain of the given rational expression is the set of real numbers except $5$.
In interval notation, the domain is:
$\color{blue}{(-\infty, 5) \cup (5, +\infty)}$
