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

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

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

asymptotes

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

Slant : y = 3 x - 1

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Slant : y = 3 x - 1

7 x - 7

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

\frac{- 2 x ^{2} + 4 x + 16}{x ^{2} - 5 x + 4}

f (x) = \frac{x - 3}{x ^{2} + 2 x - 15}

\frac{x ^{2} + 3 x - 4}{x ^{2} + x - 12}

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