Question

State the vertical asymptote of the rational function.
f(x) =(x-6)(x+6)/(x^2-9)

Answer 1

if we grab the denominator, and solve for "x", what do we get?
\(\bf f(x) =\cfrac{(x-6)(x+6)}{x^2-9}\\ \quad \\ \quad \\

x^2-9=0\implies x = \square?\)

Answer 2

factor the denominator and then find the let each binomial factor equal zero

the solutions will be the vertical asymptotes

Answer 3

and set to 0, should have added =)

Answer 4

When you see "vertical asymptote", think "that's where the denominator equals 0. First see if anything cancels...then see what value of x will make the denominator 0.

Answer 5

3 and -3 right?

Answer 6

The question asks for the asymptote. Make sure you phrase your answer correctly.
Answer: x = 3 and x = -3

Answer 7

i got it, thank you!!