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

The asymptotes of f(x)=(x^2-2x-3)/(x^3-7x+6) is Vertical: x=-3,x=1,x=2,Horizontal: y=0

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

asymptotes

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

Vertical : x = - 3, x = 1, x = 2, Horizontal : y = 0

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 2 x - 3}{x ^{3} - 7 x + 6} : x = - 3, x = 1, x = 2

Horizontal Asymptotes of

\frac{x ^{2} - 2 x - 3}{x ^{3} - 7 x + 6} : y = 0

Slant Asymptotes of

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

None

Vertical : x = - 3, x = 1, x = 2, Horizontal : y = 0

f (x) = \frac{3 x ^{2} + 2}{x - 1}

f (x) = arctan (e^{- 6 x} + 1)

\frac{2 x + 8}{x ^{2} + x - 12}

1 + \frac{5}{x} - \frac{4}{x ^{2}}

f (x) = \frac{2}{2 x + 5}

What is the asymptotes of f(x)=(x^2-2x-3)/(x^3-7x+6) ?
The asymptotes of f(x)=(x^2-2x-3)/(x^3-7x+6) is Vertical: x=-3,x=1,x=2,Horizontal: y=0