What is the asymptotes of f(x)=(2x^3-x+7)/(x^2-x-6) ?

The asymptotes of f(x)=(2x^3-x+7)/(x^2-x-6) is Vertical: x=-2,x=3,Slant: y=2x+2

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asymptotes of f(x)=(2x^3-x+7)/(x^2-x-6)

asymptotes

f (x) = \frac{2 x ^{3} - x + 7}{x ^{2} - x - 6}

Vertical : x = - 2, x = 3, Slant : y = 2 x + 2

Solution steps

Vertical asymptotes of

\frac{2 x ^{3} - x + 7}{x ^{2} - x - 6} : x = - 2, x = 3

Horizontal Asymptotes of

\frac{2 x ^{3} - x + 7}{x ^{2} - x - 6} :

None

Slant Asymptotes of

\frac{2 x ^{3} - x + 7}{x ^{2} - x - 6} : y = 2 x + 2

Vertical : x = - 2, x = 3, Slant : y = 2 x + 2

f (x) = \frac{( x )}{x}

\frac{2 x - 7}{4 x + 15}

g (x) = \frac{14}{2 x ^{2} + 7}

f (x) = \frac{3 x ^{3}}{x ^{2} - 64}

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

What is the asymptotes of f(x)=(2x^3-x+7)/(x^2-x-6) ?
The asymptotes of f(x)=(2x^3-x+7)/(x^2-x-6) is Vertical: x=-2,x=3,Slant: y=2x+2