# What is the domain and range of #y= (4x) / (x^2 + x - 12) #?

##### 1 Answer

Jun 9, 2018

The domain is

#### Explanation:

The denominator must be

Therefore,

The domain is

To find the range, proceed as follows

In order for this equation to have solutions, the discriminant

Therefore,

as

The range is

graph{(4x)/(x^2+x-12) [-25.66, 25.65, -12.83, 12.84]}