# Calculus

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let f(x)=(x^2+2x-15)/(3x^2+12x-15)

Find the horizontal and vertical asymptotes of f(x).

• Calculus -

To have a vertical asymptote , the denominator must be zero
so, 3x^2 + 12x - 15 = 0
x^2 + 4x - 5 = 0
(x+5)(x-1) = 0
x = -5 or x = 1

so we have two vertical asymptotes,
x = -5 and x = 1

for the horizontal asymptote, let x become large
then we are left with x^2/3x^2 or 1/3

V.A. : y = 1/3

• Calculus -

I did the exact same thing as you did for the verticle asymptotes, but my online homework says that -5, or 1 are wrong. I even tried putting both of them in list form.

• Calculus -

sorry, but I am 100% confident that what I did was correct. Since I can't see what type of input your online website expects, we are at an impasse.

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