What is the asymptotes of f(x)=(x^2-x-4)/(x-3) ?

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

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asymptotes of f(x)=(x^2-x-4)/(x-3)

asymptotes

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

Vertical : x = 3, Slant : y = x + 2

Solution steps

Vertical asymptotes of

\frac{x ^{2} - x - 4}{x - 3} : x = 3

Horizontal Asymptotes of

\frac{x ^{2} - x - 4}{x - 3} :

None

Slant Asymptotes of

\frac{x ^{2} - x - 4}{x - 3} : y = x + 2

Vertical : x = 3, Slant : y = x + 2

(1, 3), (- 1, 2)

y = 3 x - 4, (- 6, 2)

f (x) = \frac{1}{9} x + 2

f (x) = \frac{x ^{2} + 8}{x ^{2} - 6 x - 16}

f (x) = 5 - 2 x

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