What is the asymptotes of f(x)=(x^2-5x)/(x-2) ?

The asymptotes of f(x)=(x^2-5x)/(x-2) is Vertical: x=2,Slant: y=x-3

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asymptotes of f(x)=(x^2-5x)/(x-2)

asymptotes

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

Vertical : x = 2, Slant : y = x - 3

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 5 x}{x - 2} : x = 2

Horizontal Asymptotes of

\frac{x ^{2} - 5 x}{x - 2} :

None

Slant Asymptotes of

\frac{x ^{2} - 5 x}{x - 2} : y = x - 3

Vertical : x = 2, Slant : y = x - 3

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

f (x) = \frac{4 x - 3}{6 - 3 x}

f (x) = - x^{4} - 8 x^{3} + 7 x + 7

f (x) = x^{2} + 8 x

(6, 1), (- 1, - 3)

What is the asymptotes of f(x)=(x^2-5x)/(x-2) ?
The asymptotes of f(x)=(x^2-5x)/(x-2) is Vertical: x=2,Slant: y=x-3