What is the asymptotes of f(x)=(3x^3+2x)/(5x^2-1) ?

The asymptotes of f(x)=(3x^3+2x)/(5x^2-1) is Vertical: x=-1/(sqrt(5)),x= 1/(sqrt(5)),Slant: y= 3/5 x

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asymptotes of f(x)=(3x^3+2x)/(5x^2-1)

asymptotes

f (x) = \frac{3 x ^{3} + 2 x}{5 x ^{2} - 1}

Vertical : x = - \frac{1}{5}, x = \frac{1}{5}, Slant : y = \frac{3}{5} x

Solution steps

Vertical asymptotes of

\frac{3 x ^{3} + 2 x}{5 x ^{2} - 1} : x = - \frac{1}{5}, x = \frac{1}{5}

Horizontal Asymptotes of

\frac{3 x ^{3} + 2 x}{5 x ^{2} - 1} :

None

Slant Asymptotes of

\frac{3 x ^{3} + 2 x}{5 x ^{2} - 1} : y = \frac{3}{5} x

Vertical : x = - \frac{1}{5}, x = \frac{1}{5}, Slant : y = \frac{3}{5} x

What is the asymptotes of f(x)=(3x^3+2x)/(5x^2-1) ?
The asymptotes of f(x)=(3x^3+2x)/(5x^2-1) is Vertical: x=-1/(sqrt(5)),x= 1/(sqrt(5)),Slant: y= 3/5 x