What is the asymptotes of f(x)=(x^2+3x-18)/(x-6) ?

The asymptotes of f(x)=(x^2+3x-18)/(x-6) is Vertical: x=6,Slant: y=x+9

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asymptotes of f(x)=(x^2+3x-18)/(x-6)

asymptotes

f (x) = \frac{x ^{2} + 3 x - 18}{x - 6}

Vertical : x = 6, Slant : y = x + 9

Solution steps

Vertical asymptotes of

\frac{x ^{2} + 3 x - 18}{x - 6} : x = 6

Horizontal Asymptotes of

\frac{x ^{2} + 3 x - 18}{x - 6} :

None

Slant Asymptotes of

\frac{x ^{2} + 3 x - 18}{x - 6} : y = x + 9

Vertical : x = 6, Slant : y = x + 9

x^{3} - 3 x^{2}

f (x) = 4 x^{2} - 18 x + 6

f (x) = - x^{3} + 3 x^{2} + 24 x + 5

y = (x + 2)^{2}

f (x) = 6 x - 6

What is the asymptotes of f(x)=(x^2+3x-18)/(x-6) ?
The asymptotes of f(x)=(x^2+3x-18)/(x-6) is Vertical: x=6,Slant: y=x+9