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

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

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

asymptotes

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

Slant : y = x + 2

Solution steps

Vertical asymptotes of

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

None

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Slant : y = x + 2

3 x + 2 y = 24

f (x) = \frac{16}{x ^{2} - 2 x - 8}

f (x) = \frac{x ^{2} - 9}{x}

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

(- 7, - 1), (- 7, 9)

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