# What is the domain and range of #f(x)=(x^2+1)/(x+1)#?

##### 1 Answer

Sep 4, 2017

The domain is

The range is

#### Explanation:

As we cannot divide by

The domain is

Let

So,

In order for this equation to have solutions, the discriminant is

Therefore the range is

graph{(x^2+1)/(x+1) [-25.65, 25.66, -12.83, 12.84]}