What are the vertical and horizontal asymptotes of #y = (x+3)/(x^2-9)#?
1 Answer
vertical asymptote at
horizontal asymptote at
hole at
Explanation:
First factor:
Since the factor
vertical asymptote at
Now let's cancel out the factors and see what the functions does as x gets really big in the positive or negative:
As you can see the reduced form is just
We know that:
Therefore, the function has a horizontal asymptote at
graph{y = (x+3)/(x^2-9) [-10, 10, -5, 5]}