What is the asymptotes of f(x)=(x^2-5x+6)/(-3x+12) ?

The asymptotes of f(x)=(x^2-5x+6)/(-3x+12) is Vertical: x=4,Slant: y=-1/3 x+1/3

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asymptotes of f(x)=(x^2-5x+6)/(-3x+12)

asymptotes

f (x) = \frac{x ^{2} - 5 x + 6}{- 3 x + 12}

Vertical : x = 4, Slant : y = - \frac{1}{3} x + \frac{1}{3}

Solution steps

Vertical asymptotes of

\frac{x ^{2} - 5 x + 6}{- 3 x + 12} : x = 4

Horizontal Asymptotes of

\frac{x ^{2} - 5 x + 6}{- 3 x + 12} :

None

Slant Asymptotes of

\frac{x ^{2} - 5 x + 6}{- 3 x + 12} : y = - \frac{1}{3} x + \frac{1}{3}

Vertical : x = 4, Slant : y = - \frac{1}{3} x + \frac{1}{3}

\frac{x + 5}{x ^{2} + 9 x + 20}

f (x) = x^{4} - 5 x^{2} + 4

f (x) = arctan (e^{7 x} + 1)

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

y = \frac{- 8 x ^{2} + 6 x + 3}{- 4 x - 1}

What is the asymptotes of f(x)=(x^2-5x+6)/(-3x+12) ?
The asymptotes of f(x)=(x^2-5x+6)/(-3x+12) is Vertical: x=4,Slant: y=-1/3 x+1/3