# How do you graph #f(x) = (4x^2-36x) / (x-9)#?

##### 1 Answer

see below

#### Explanation:

you can first simplify this expression:

therefore, for all points where

however, not all points can be defined.

any number divided by zero is undefined. this means that the

when

this means that the line cannot touch any point where

however, in all other ways, it will look like the graph of

this gives a straight line with gradient

graph{(4x^2-36x)/(x-9) [2.7, 22.7, 32.56, 42.56]}

if you scroll along the graph, you'll see a directly proportional relationship between

if you scroll up to where

(