Determine all x-intercepts, vertical asymptotes, horizontal asymptotes, and removable discontinuities of f (x)=(x^2-x-6)/(x^3-4x).

1 answer

recall that vertical asymptotes occur when the denominator is zero and the numerator is not.

Removable discontinuities are where the fraction is 0/0

Horizontal asymptotes are what happens when x gets huge.

f(x) =

(x-3)(x+2)
--------------
x^2 (x-4)

get it now? If not, where do things get creepy?