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

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

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

asymptotes

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

Vertical : x = 2, Slant : y = 2 x + 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 2, Slant : y = 2 x + 1

x^{2} + x + 1

y = \frac{x - 3}{x + 1}

f (x) = \frac{( x ^{3} )}{x ^{4} - 1}

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

\frac{x ^{2} - 36}{3 x ^{2} + 9 x - 162}

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