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

Jun 23, 2016

Domain = $\mathbb{R} - \left\{- 3 , 1\right\} .$

Range =$\mathbb{R} .$

#### 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 $\mathbb{R} - \left\{- 3 , 1\right\} .$

Range is $\mathbb{R} .$