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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

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

f (x) = \frac{3 x - 4}{x - 1}

\frac{6 x ^{2} + 7 x - 5}{3 x + 5}

f (x) = \frac{2 x + 3}{x - 4}

f (x) = \frac{x ^{2} + 3}{x + 1}

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