Question

For rational function f(x) = (x^2 - 81)/(x^3 - 9x), identify any vertical asymptotes

Answer 1

To find vertical asymptotes of rational functions, set the denominator equal to zero, and solve.

Answer 2

so your denominator is \[x^3-9x=0\]
take a x out.
\[x(x^2-9)=0\]
factor
\[x(x+3)(x-3)=0\]

so what would the vertical asymptotes be?

Answer 3

x=0

Answer 4

that is one of them, what are the other two?

Answer 5

x = 3 and x=-3

Answer 6

thats right