# How do you find the domain and range of #f(x)= sqrt(4-x)/( (x+1)(x^2+1))#?

##### 1 Answer

Jun 30, 2018

The domain is

#### Explanation:

As you cannot divide by

Therefore,

Also, what's under the

Therefore,

Therefore,

The domain is

To find the range,

Let

The limits are as follows :

The range is

graph{sqrt(4-x)/((x+1)(x^2+1)) [-10, 10.01, -5, 5]}