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