### Home > PC > Chapter 5 > Lesson 5.2.2 > Problem5-64

5-64.

Split the 7 into a 6 and a 1 in order to manipulate a Giant One!

Factor.

Simplify.

Now find the any vertical and horizontal asymptotes. Sketch the curve.

$f(x)=\frac{1}{x-2}-\frac{3x-6}{x-2}$

$f(x)=\frac{1}{x-2}-\frac{3(x-2)}{x-2}$

$f(x)=\frac{1}{x-2}-3$