Answer
The domain is all real numbers except $5$.
$x\ne5$
Work Step by Step
This function is NOT linear. Therefore we look for any value of $x$ that would create a zero in the denominator. We find this by setting the denominator to zero and solving.
$x-5=0$
Add $5$ to both sides
$x=5$
When $x=5$ the denominator of the function becomes zero. Therefore, the domain is all real numbers EXCEPT $5$.
$x\ne5$
