# How do you find the domain and range of #f(x) = (3x + 1)/ (sqrt(x^2 + x - 2) ) #?

##### 1 Answer

The domain is

The range is

#### Explanation:

The denominator must be

Therefore,

As the coefficient of

The domain is

To find the range, proceed as follows :

Let

Rearranging this equation

Squaring both sides

Rearranging

This is a quadratic equation in

The discriminant is

The range is

graph{(3x+1)/sqrt(x^2+x-2) [-28.87, 28.88, -14.43, 14.43]}