Question

What is the domain and range of `y=3/(x-5)`?

Answer 1

domain `in R - {5}`
range `in R - {0}`

Explanation:

Domain :-
clearly,
`rArr x - 5 != 0`
`rArr x != 5`

`therefore`domain `in R - {5}`

Range :-
`y = (ax + b)/(cx + d)`
`then, y in c/d`

`therefore`range `in R - {0}`