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

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

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

\frac{x + 4}{x ^{2} + 36}

f (x) = \frac{x + 4}{x ^{2} + x - 12}

\frac{x - 2}{x ^{4} - 16}

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