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

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

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

asymptotes

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

Slant : y = 2 x - 1

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Slant : y = 2 x - 1

y = \frac{x - 2}{x - 4}

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

f (x) = \frac{3 x - 12}{x - 1}

\frac{2 x + 10}{5 x - 25}

f (x) = \frac{- 4}{( x + 1 ) ( x ^{2} - 9 )}

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