Question

How do you find the domain of `f(x)= 2/(x-5)`?

Answer 1

`x=5`

Explanation:

Domain can be found in this particular equation by looking at the denominator. Since the denominator cannot equal to 0, then `x-5!=0`

ie so solving the equation: `x-5=0` we know that `x=5` which is your vertical asymptote.

Looking at the graph, we can make sure we are correct
graph{2/(x-5) [-10, 10, -5, 5]}