# How do you find the domain and range of #y = (x+4 )/( x-4)#?

##### 1 Answer

Domain:

Range:

#### Explanation:

The domain of the function will include all the values of **not equal to** zero.

This means that you have

#x - 4 = 0 implies x = 4#

This value of *excluded* from the domain of the function. This implies that the function's domain will be

To find the range of the function, use some algebraic manipulation to rewrite the function as

#y = (x+4)/(x-4) = (x - 4 + 8)/(x-4) = 1 + 8/(x-4)#

Since

This means that the range of the function will be

graph{(x+4)/(x-4) [-9.99, 10.02, -5, 4.995]}