Question

How do you find the domain and range of `f(x)= (3x-1)/((x+3)(x-1))`?

Answer 1

Domain = `RR-{-3,1}.`

Range =`RR.`

Explanation:

We know that division by zero is not permissible, so, fun. `f` will not be defined when `x+3=0,` i.e., when `x=-3,` and `x=1,` as well.

so, the Domain of `f` is `RR-{-3,1}.`

Range is `RR.`