# What is the domain and range of #y = -7 /(x-5)#?

##### 1 Answer

Aug 11, 2015

Domain:

Range:

#### Explanation:

The function is defined for all real numbers **except** for any value of **zero**.

In your case,

The domain of the function will thus be

In order to determine the range of the function, you need to take into account the fact that this fraction cannot be equal to zero, since the numerator is *constant*.

This means that the range of the function will be

graph{-7/(x-5) [-10, 10, -5, 5]}