# What are the asymptotes for #((x+2)(x+5))/(x+2)#?

##### 1 Answer

Aug 7, 2015

There are no vertical or horizontal asymptotes

#### Explanation:

**Step 1.** Cross out any factors in both the numerator and denominator.

This reduces the function to the line **removable discontinuity** (a little hole in the graph) where

So the hole is at (-2,3).

**Step 2.** Find the vertical asymptotes.

Since the denominator is now 1, there are no vertical asymptotes.

**Step 3.** Find the horizontal asymptotes.

This is a linear equation. There are no horizontal asymptotes.

There are no horizontal or vertical asymptotes.