What is the asymptotes of f(x)=(x^2-6x+3)/(x-2) ?

The asymptotes of f(x)=(x^2-6x+3)/(x-2) is Vertical: x=2,Slant: y=x-4

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asymptotes of f(x)=(x^2-6x+3)/(x-2)

asymptotes

f (x) = \frac{x ^{2} - 6 x + 3}{x - 2}

Vertical : x = 2, Slant : y = x - 4

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 6 x + 3}{x - 2} : x = 2

Horizontal Asymptotes of

\frac{x ^{2} - 6 x + 3}{x - 2} :

None

Slant Asymptotes of

\frac{x ^{2} - 6 x + 3}{x - 2} : y = x - 4

Vertical : x = 2, Slant : y = x - 4

f (x) = \frac{2 + 3 x}{x ^{2} + 3 x - 4}

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

f (x) = x^{4} + 8 x^{3} + 18 x^{2}

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

\frac{x ^{2} + x - 2}{x ^{2} - x - 6}

What is the asymptotes of f(x)=(x^2-6x+3)/(x-2) ?
The asymptotes of f(x)=(x^2-6x+3)/(x-2) is Vertical: x=2,Slant: y=x-4