# How do you find the domain of the function f(x) = 5/(x-9)?

Apr 8, 2015

The domain is $x \ne 9$

The nominator of the fraction is not allowed to be $0$, and $x = 9$ will make it so. All other values are allowed. $x = 9$ is the vertical asymptote, and $y = 0$ the horizontal.
graph{5/(x-9) [-3.1, 28.94, -8.96, 7.06]}