What is the asymptotes of (3x^2+3x-6)/(x^2-x-12) ?

The asymptotes of (3x^2+3x-6)/(x^2-x-12) is Vertical: x=-3,x=4,Horizontal: y=3

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asymptotes of (3x^2+3x-6)/(x^2-x-12)

asymptotes

\frac{3 x ^{2} + 3 x - 6}{x ^{2} - x - 12}

Vertical : x = - 3, x = 4, Horizontal : y = 3

Solution steps

Vertical asymptotes of

\frac{3 x ^{2} + 3 x - 6}{x ^{2} - x - 12} : x = - 3, x = 4

Horizontal Asymptotes of

\frac{3 x ^{2} + 3 x - 6}{x ^{2} - x - 12} : y = 3

Slant Asymptotes of

\frac{3 x ^{2} + 3 x - 6}{x ^{2} - x - 12} :

None

Vertical : x = - 3, x = 4, Horizontal : y = 3

f (x) = (1)

f (x) = \frac{x ^{2} + x - 6}{x ^{2} - 6 x + 9}

f (x) = \frac{x ^{2} - 9}{x ^{2} + 9}

f (x) = \frac{4 x + 3}{3 x - 7}

\frac{x}{( x - 3 ) ^{2}}

What is the asymptotes of (3x^2+3x-6)/(x^2-x-12) ?
The asymptotes of (3x^2+3x-6)/(x^2-x-12) is Vertical: x=-3,x=4,Horizontal: y=3