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

The asymptotes of f(x)=(x^2+2x)/(-3x^2+3x+6) is Vertical: x=-1,x=2,Horizontal: y=-1/3

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

asymptotes

f (x) = \frac{x ^{2} + 2 x}{- 3 x ^{2} + 3 x + 6}

Vertical : x = - 1, x = 2, Horizontal : y = - \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 2 x}{- 3 x ^{2} + 3 x + 6} : x = - 1, x = 2

Horizontal Asymptotes of

\frac{x ^{2} + 2 x}{- 3 x ^{2} + 3 x + 6} : y = - \frac{1}{3}

Slant Asymptotes of

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

None

Vertical : x = - 1, x = 2, Horizontal : y = - \frac{1}{3}

What is the asymptotes of f(x)=(x^2+2x)/(-3x^2+3x+6) ?
The asymptotes of f(x)=(x^2+2x)/(-3x^2+3x+6) is Vertical: x=-1,x=2,Horizontal: y=-1/3