# How do you graph #f(x)=(2x^2 + 5) / (x-1)#?

##### 1 Answer

Aug 28, 2015

graph{2(x+1)+7/(x-1) [-20, 20, -20, 20]}

#### Explanation:

I can suggest to transform the function (defined everywhere but a point

In this form we can graph separately

after which we just add two graphs.

graph{2x+2 [-10, 10, -5, 5]}

graph{7/(x-1) [-10, 10, -5, 5]}

The sum of these graphs is

graph{2(x+1)+7/(x-1) [-20, 20, -20, 20]}

Notice that