Question

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

Answer 1

`Dom_f=RR-{6}`.

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, `Dom_f=RR-{6}`. This is also apparent from the graph of the function.

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