How do you find the vertical, horizontal and slant asymptotes of: #x/(x^2+x-6)#?

1 Answer
Dec 22, 2016

Answer:

Vertical asymptotes x=-3 and x=2

Horizontal asymptote at y=0

No slant asymptote

Explanation:

Rewrite f(x) after factorising the denominator as follows

#f(x)= x/((x+3)(x-2))#

f(x) has vertical asymptotes at x= -3 and x=2. It has an horizontal asymptotes at y=0 There are no slant asymptotes