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

The asymptotes of f(x)=(2x^2)/(3x-1) is Vertical: x= 1/3 ,Slant: y= 2/3 x+2/9

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

asymptotes

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

Vertical : x = \frac{1}{3}, Slant : y = \frac{2}{3} x + \frac{2}{9}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{2 x ^{2}}{3 x - 1} : y = \frac{2}{3} x + \frac{2}{9}

Vertical : x = \frac{1}{3}, Slant : y = \frac{2}{3} x + \frac{2}{9}

(- 2, 0), (2, 3)

x^{2} - 3 x + 2

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

f (x) = ln (1 + \frac{( x + 1 )}{x + 4})

f (x) = x^{5} + 5 x^{4}

What is the asymptotes of f(x)=(2x^2)/(3x-1) ?
The asymptotes of f(x)=(2x^2)/(3x-1) is Vertical: x= 1/3 ,Slant: y= 2/3 x+2/9