Question

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

Answer 1

`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]}