What is the domain of the function y = (3x+1)/(x-5)y=3x+1x5?

1 Answer
Jun 11, 2018

x inRR,x!=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.

"solve "x-5=0rArrx=5larrcolor(red)"excluded value"

"domain "x inRR,x!=5
graph{(3x+1)/(x-5) [-20, 20, -10, 10]}