# How do you find the domain and range of #f(x)=(x-2)/(x^2-6x+9)#?

##### 1 Answer

Jun 14, 2018

The domain is

#### Explanation:

The function is

The denominator must be

Therefore,

The domain is

To find the range, let

Cross multiply,

This is a quadratic equation in

the discriminant

The range is

graph{(x-2)/(x^2-6x+9) [-5.24, 8.81, -2.67, 4.353]}