# How do you find the domain and range of #f(x)= (2-x)/(x^2+7x+12)#?

##### 1 Answer

Jan 28, 2017

The domain is

The range is

#### Explanation:

Let's factorise the denominator

As you cannot divide by

The domain of

Let

Then,

Solving for

The discriminant is

This has to be

Therefore,

So,

Therefore,

The range is