# How do you find the domain of f(x)=3/(x-6)?

Nov 10, 2015

$D o {m}_{f} = \mathbb{R} - \left\{6\right\}$.

#### Explanation:

A vertical asymptote of this function would be all points which lead to dicision by zero and need to be excluded from the domain. In this case, $x = 6$.

Hence the domain is all real numbers except 6.

ie, $D o {m}_{f} = \mathbb{R} - \left\{6\right\}$. This is also apparent from the graph of the function.

graph{3/(x-6) [-10, 10, -5, 5]}