How do you find the asymptotes for #f(x) =(x^2 - 16)/(x^2- 5x + 4)#?
Vertical asymptotes are
The vertical asymptotes are given by restrictions on the domain and hence come from the zeroes of the denominator.
and vertical asymptotes are
Since, numerator and denominator of the function are of same degree, horizontal asymptote is found by dividing the leading terms
Hence horizontal asymptote is