What is the asymptotes of f(x)=(x^2+x-30)/(x-6) ?

The asymptotes of f(x)=(x^2+x-30)/(x-6) is Vertical: x=6,Slant: y=x+7

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asymptotes of f(x)=(x^2+x-30)/(x-6)

asymptotes

f (x) = \frac{x ^{2} + x - 30}{x - 6}

Vertical : x = 6, Slant : y = x + 7

Solution steps

Vertical asymptotes of

\frac{x ^{2} + x - 30}{x - 6} : x = 6

Horizontal Asymptotes of

\frac{x ^{2} + x - 30}{x - 6} :

None

Slant Asymptotes of

\frac{x ^{2} + x - 30}{x - 6} : y = x + 7

Vertical : x = 6, Slant : y = x + 7

x^{2} + 8 x + 14

f (x) = \frac{y - 10}{y ^{2} + 3}

12 x + 3 y = - 18

\frac{x + 2}{x ^{3} + 8}

What is the asymptotes of f(x)=(x^2+x-30)/(x-6) ?
The asymptotes of f(x)=(x^2+x-30)/(x-6) is Vertical: x=6,Slant: y=x+7