# How do you find the domain and range of #y = 3(x-2)/x#?

##### 1 Answer

Domain:

Range:

#### Explanation:

Right from the start, you can say that the domain of the function **will not** include

This means that the domain of the function will be

To find if the range of the function has any restrictions, calculate the inverse of

#y = (3x - 6)/x#

#y * x = 3x - 6#

#x (y-3) = 6 implies x = 6/(y-3)#

The inverse function will thus be

#y = 6/(x-3)#

As you can see, this is not defined for

graph{(3(x-2))/x [-10, 10, -5, 5]}