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

1 Answer
May 4, 2018

Answer:

#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]}