Question

for rational function f(x) = (x^2 - 81) / (x^3 - 9x), identify any vertical asymptote(s).

Answer 1

I think the only asymptote is x =0

Answer 2

@myininaya Could you check my answer

Answer 3

What did you get when you factor the denominator?

Answer 4

x(x-3)(x+3)

Answer 5

Ok good
and what did you get when you factored the top?

Answer 6

(x+9)(x-9)

Answer 7

Nothing cancels so we just have va's and no holes...

Answer 8

it would be x = -3 x = 0 and x = 3.

Answer 9

We should have 3 va's not just 1.

Answer 10

yep.