Answer
$(-\infty,6)\cup(6,\infty)$
Work Step by Step
The denominator of the given function, $
f(x)=\dfrac{x+2}{x-6}
,$ cannot be $0$. Hence,
\begin{array}{l}\require{cancel}
x-6\ne0
\\\\
x\ne6
.\end{array}
Hence, the domain is $
(-\infty,6)\cup(6,\infty)
.$
