# What is the domain and range of #f(x) =(3x^2-2x-8)/(2x^3+x^2-3x)#?

##### 1 Answer

Domain:

Range:

#### Explanation:

To find the domain, we have to look for any cases where division by zero can occur. In this case, we have to make sure

Solving we have two options

We have to solve the second equation to get

So the function is undefined at

This means our domain is

As you get closer to any of those x-values we found, the denominator gets closer to 0. As the denominator gets closer to 0, the resulting value goes to positive or negative infinity so the range is