# What is the domain and range of #y = (x^2 + 4x + 4)/( x^2 - x - 6)#?

##### 1 Answer

#### Answer:

See below.

#### Explanation:

Before we do anything, let's see if we can simplify the function by factoring the numerator and denominator.

You can see that one of the

The **domain** of a function is all of the

Since the function given is a fraction, dividing by

So, the domain is all real numbers **EXCEPT**

The range of a function is all of the

graph{(x+2)/(x-3) [-10, 10, -5, 5]}

We can see that as

We can also see that as

In set notation, the range would be written as follows: