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

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

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

asymptotes

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

Vertical : x = - 1, x = 3, Slant : y = 2 x + 3

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = - 1, x = 3, Slant : y = 2 x + 3

h (x) = 2 sec (\frac{π}{4} (x + 3))

y = \frac{3 - 2 x}{2 - 3 x}

y = x^{2} + \frac{1}{x}

\frac{x ^{3}}{x + 4}

y = \frac{1}{x + 4}

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