# How do you find the domain and range of #f(x)=x/(x^3+8) #?

##### 1 Answer

Jan 23, 2018

The domain is

#### Explanation:

As you cannot divide by

Therefore,

The domain is

To calculate the range, proceed as follows

Let

This is a cubic equation in

The solution of this equation is

The only restriction is

So

The range is

graph{x/(x^3+8) [-7.9, 7.904, -3.95, 3.95]}