# What is the domain and range of #1 / (x^2 + 5x + 6)#?

##### 1 Answer

May 24, 2018

The domain is

#### Explanation:

The denominator is

As the denominator must be

Therefore,

The domain is

To find the range, proceed as follows :

Let

This is a quadratic equation in

The solutions of this inequality is obtained with a sign chart.

The range is

graph{1/(x^2+5x+6) [-16.26, 12.21, -9.17, 5.07]}