What is the asymptotes of f(x)=(x^2-2x-8)/(x^2-5x+6) ?

The asymptotes of f(x)=(x^2-2x-8)/(x^2-5x+6) is Vertical: x=2,x=3,Horizontal: y=1

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asymptotes of f(x)=(x^2-2x-8)/(x^2-5x+6)

asymptotes

f (x) = \frac{x ^{2} - 2 x - 8}{x ^{2} - 5 x + 6}

Vertical : x = 2, x = 3, Horizontal : y = 1

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 2 x - 8}{x ^{2} - 5 x + 6} : x = 2, x = 3

Horizontal Asymptotes of

\frac{x ^{2} - 2 x - 8}{x ^{2} - 5 x + 6} : y = 1

Slant Asymptotes of

\frac{x ^{2} - 2 x - 8}{x ^{2} - 5 x + 6} :

None

Vertical : x = 2, x = 3, Horizontal : y = 1

f (x) = - 3 lo g_{10} (3) (x - 6) - 8

\frac{( x ^{2} + 1 )}{x ^{2} - 4}

f (x) = \frac{( x ^{2} - x )}{x + 1}

f (x) = \frac{( x ^{2} - x - 2 )}{( x - 1 )}

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

What is the asymptotes of f(x)=(x^2-2x-8)/(x^2-5x+6) ?
The asymptotes of f(x)=(x^2-2x-8)/(x^2-5x+6) is Vertical: x=2,x=3,Horizontal: y=1