Verified answer

V asymptotes will be for values of x which result in zero in the denominator with a non-zero numerator.

This will be when x = 0, x = 1 and x = -1

H asymptotes will be the values y approaches when x approaches +/- infinity

For very large values of x, the 2 is negligible so the function becomes

x^4/(x^2 - x^4)

divide numerator and denominator by x^2

x^2(1 - x^2) which becomes x^2/-x^2 = -1

y = -1 is the H asymptote

vertical asymptotes are where the denominator = 0, horizontal asymptotes are what happen as limit x->inf and x-> -inf

I've written it here:

http://s1297.photobucket.com/user/thomasgolley/med...