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

The asymptotes of f(x)=(x^2+2x-1)/(2x-1) is Vertical: x= 1/2 ,Slant: y= 1/2 x+5/4

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

asymptotes

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

Vertical : x = \frac{1}{2}, Slant : y = \frac{1}{2} x + \frac{5}{4}

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{2} + 2 x - 1}{2 x - 1} : y = \frac{1}{2} x + \frac{5}{4}

Vertical : x = \frac{1}{2}, Slant : y = \frac{1}{2} x + \frac{5}{4}

\frac{x - 1}{x + 4}

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

f (x) = - \frac{3}{- 4 x - 10}

f (x) = \frac{x + 10}{x - 5}

f (x) = ∣ 2 x + 1 ∣ + ∣ x ∣ - x

What is the asymptotes of f(x)=(x^2+2x-1)/(2x-1) ?
The asymptotes of f(x)=(x^2+2x-1)/(2x-1) is Vertical: x= 1/2 ,Slant: y= 1/2 x+5/4