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

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

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

asymptotes

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

Vertical : x = \frac{1}{2}, Slant : y = \frac{1}{2} x + \frac{1}{4}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = \frac{1}{2}, Slant : y = \frac{1}{2} x + \frac{1}{4}

f (x) = \frac{x - 8}{5 x ^{2}}

4 + 8 x - 5 x^{2}

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

f (x) = - x^{2}

(- 4, - 18), (3, - 15)

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