Consider the rational function f(x)= 3x^2 - 12 / x^2 - 3x + 2

A. Give the equation of the horizontal asymptote.

B. Give the equation(s) of any vertical asymptotes.

Thanks

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- May 10th 2010, 07:35 PMrowdy3Equation of a horizontal and vertical asymptote

Consider the rational function f(x)= 3x^2 - 12 / x^2 - 3x + 2

A. Give the equation of the horizontal asymptote.

B. Give the equation(s) of any vertical asymptotes.

Thanks - May 10th 2010, 07:42 PMrowdy3
Is this right?

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

horizontal asymptote: y = 3

Vertical Asymptote: (x^2 - 3x + 2) = 0

(x - 2)(x - 1) = 0

x = 2

x = 1

Vertical Asymptotes: x = 1, x = 2 - May 10th 2010, 07:49 PMtedii