Question

@Mathematics f(x)= (x^2+7x-30)/((x^2+4x))
What is the vertical and horizontal asymptote??

Answer 1

degree of numerator = degree of denominator (they are both 2) the horizontal asymptote is the ratio of the leading coefficients. hence
\[y=1\]

Answer 2

vertical asymptotes where the denominator is = 0, so set
\[x^2+4x=0\]
\[x(x+4)=0\]
\[x=0,x=-4\]

Answer 3

Hoooraayy! Thanks once again!!