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

##### 1 Answer

May 6, 2018

The domain is

#### Explanation:

The denominator is

The domain is

Let

Therefore,

This is a quadratic equation in

The real solutions are when the discriminant is

The solutions to this equation is obtained with a sign chart.

The range is

graph{1/(x^2-1) [-7.02, 7.024, -3.51, 3.51]}