What is the asymptotes of f(x)=(2x^3-3x+4)/(x^2-1) ?

The asymptotes of f(x)=(2x^3-3x+4)/(x^2-1) is Vertical: x=-1,x=1,Slant: y=2x

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asymptotes of f(x)=(2x^3-3x+4)/(x^2-1)

asymptotes

f (x) = \frac{2 x ^{3} - 3 x + 4}{x ^{2} - 1}

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

Solution steps

Vertical asymptotes of

\frac{2 x ^{3} - 3 x + 4}{x ^{2} - 1} : x = - 1, x = 1

Horizontal Asymptotes of

\frac{2 x ^{3} - 3 x + 4}{x ^{2} - 1} :

None

Slant Asymptotes of

\frac{2 x ^{3} - 3 x + 4}{x ^{2} - 1} : y = 2 x

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

\frac{5 x ^{2} - 29 x - 6}{3 x ^{2} - 17 x - 6}

\frac{x}{x + 8}

y = x^{2}

f (x) = \frac{x ^{3} - 9 x}{3 x ^{2} - 12}

f (x) = \frac{4 x ^{2} - 4 x}{3 x ^{2} + 4 x - 7}

What is the asymptotes of f(x)=(2x^3-3x+4)/(x^2-1) ?
The asymptotes of f(x)=(2x^3-3x+4)/(x^2-1) is Vertical: x=-1,x=1,Slant: y=2x