# What is the domain and range of #f(x)= (x+1)/(x^2+3x-4)#?

##### 1 Answer

Sep 21, 2015

Domain:

Range:

#### Explanation:

Given

Notice that the denominator can be factored as

which implies that the denominator would be

and since division by

the Domain must exclude these values.

For the Range:

Consider the graph of

graph{(x+1)/(x^2+3x-4) [-10, 10, -5, 5]}

It seems clear that all values of

Therefore the Range of