How do you find the asymptotes for #f(x)=(3x^2+2) / (x^2 -1)#?
The vertical asymptotes are
The horizontal asymptote is
The asymptotes occur where the denominator approaches zero, and where
In this case the denominator is the difference of two squares so the function can be rewritten as
The denominator is zero when either
The horizontal asymptote is therefore