# What are the asymptote(s) and hole(s), if any, of # f(x) =(7x)/(x-3)^3 #?

##### 1 Answer

no holes

vertical asymptote at

horizontal asymptote is

#### Explanation:

Given:

This type of equation is called a rational (fraction) function.

It has the form:

where

and

**Step 1, factor** : The given function is already factored.

**Step 2, cancel any factors** that are both in

The given function has no holes

**Step 3, find vertical asymptotes:**

vertical asymptote at

**Step 4, find horizontal asymptotes:**

Compare the degrees:

If

If

If

In the given equation:

horizontal asymptote is

Graph of

graph{(7x)/(x-3)^3 [-6, 10, -15, 15]}