# What is the domain and range of #(x+5)/(x^2+36)#?

##### 1 Answer

Nov 15, 2017

The domain is

The range is

#### Explanation:

The denominator is

Therefore,

The domain is

Let,

Simplifying and rearranging

This is a quadratic equation in

In order for this equation to have solutions, the discriminant

So,

Therefore,

The range is

graph{(x+5)/(x^2+36) [-8.89, 8.884, -4.44, 4.44]}