What are the asymptotes for #((x+2)(x+5))/(x+2)#?
There are no vertical or horizontal asymptotes
Step 1. Cross out any factors in both the numerator and denominator.
This reduces the function to the line
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.