Question

Determine all asymptotes of this function including horizontal, vertical, and oblique (slant).
f(x)= (x^2-9)/(x-2)

Answer 1

f(x)=0, where?

Answer 2

vertical at the zero of the denominator

Answer 3

f(x) is undefined, when?

Answer 4

to find the oblique, divide
you get a quotient (a line) and a remainder
ignore the remainder, the quotient is the asymptote