# What is the domain and range of # f(x)=(3x-1)/(x^2+9)#?

##### 1 Answer

Oct 13, 2017

The domain is

The range is

#### Explanation:

The function is

Therefore,

The domain is

To find the range, proceed as follows

Let

Rearranging,

This is a quadratic equation in

Solving this inequality,

We can make a sign chart.

The range is

graph{(3x-1)/(x^2+9) [-10, 10, -5, 5]}