which of the following best describes the behavior of thre function f(x)=(x^2-2x)/(x^2-4) at the values not in its domain?

Question

a) one vertical asymptote, no removable discontinuities
b) 2 vertical asymptotes
c) two removable discontinuities
d) one removable discontinuity, one vertical asymptote, x=2
e) one removable discontinuity, one vertical asymptote, x=-2

Answer 1

f(x) = x(x-2)/((x-2)(x+2))
= x/(x+2) , x ≠ 2 ---> VA : x = -2

looks like e) to me