SOLUTION: What is the equation of the vertical asymptote and horizontal asymptote of the rational function: f(x) = 8x^2+2x-3/ x^2-4x

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Question 846777: What is the equation of the vertical asymptote and horizontal asymptote of the rational function:
f(x) = 8x^2+2x-3/ x^2-4x

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


Vertical asymptotes occur when denominator goes to zero.

Two solutions:

and


Horizontal asymptote : Divide numerator and denominator by and take the limit as

There is a horizontal asymptote at

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