# What is the domain of the function y = (3x+1)/(x-5)?

Jun 11, 2018

#### Answer:

$x \in \mathbb{R} , x \ne 5$

#### Explanation:

The denominator of y cannot be zero as this would make y undefined. Equating the denominator to zero and solving gives the value that x cannot be.

$\text{solve "x-5=0rArrx=5larrcolor(red)"excluded value}$

$\text{domain } x \in \mathbb{R} , x \ne 5$
graph{(3x+1)/(x-5) [-20, 20, -10, 10]}