What is the asymptotes of f(x)=(x^2-5x+6)/(x-2) ?

The asymptotes of f(x)=(x^2-5x+6)/(x-2) is Slant: y=x-3

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asymptotes of f(x)=(x^2-5x+6)/(x-2)

asymptotes

f (x) = \frac{x ^{2} - 5 x + 6}{x - 2}

Slant : y = x - 3

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 5 x + 6}{x - 2} :

None

Horizontal Asymptotes of

\frac{x ^{2} - 5 x + 6}{x - 2} :

None

Slant Asymptotes of

\frac{x ^{2} - 5 x + 6}{x - 2} : y = x - 3

Slant : y = x - 3

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

f (x) = - 2 x + 1

7 + x

(- \frac{5}{6}, - \frac{1}{2}), (0, \frac{6}{2})

f (x) = x^{8} e^{x} - 3

What is the asymptotes of f(x)=(x^2-5x+6)/(x-2) ?
The asymptotes of f(x)=(x^2-5x+6)/(x-2) is Slant: y=x-3