Problema Solution
For the following function find the vertical, horizontal, and oblique asymptotes, if any. f(x)=11-5x/5x^2+7x-12 Please show all of your work.
Answer provided by our tutors
vertical asymptotes are when the denominator equals zero
5x2+7x-12 = 0
factor
(5x+12)(x-1) = 0
5x+12 = 0
5x = -12
x = -12/5
and x-1 = 0
x = 1
so vertical asymptotes are x= -12/5 and x = 1
since the degree of the denominator is greater than that of the numerator, there is a horizonal asymptote at y=0
since there is a horizontal asymptote, there will be no oblique asymptote
*if this doesn't seem right or you need more explanation just message me!!! :)