What is the asymptotes of f(x)=(x^2-x-12)/(x+3) ?

The asymptotes of f(x)=(x^2-x-12)/(x+3) is Slant: y=x-4

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asymptotes of f(x)=(x^2-x-12)/(x+3)

asymptotes

f (x) = \frac{x ^{2} - x - 12}{x + 3}

Slant : y = x - 4

Solution steps

Vertical asymptotes of

\frac{x ^{2} - x - 12}{x + 3} :

None

Horizontal Asymptotes of

\frac{x ^{2} - x - 12}{x + 3} :

None

Slant Asymptotes of

\frac{x ^{2} - x - 12}{x + 3} : y = x - 4

Slant : y = x - 4

\frac{1 - 3 x}{1 - x}

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

f (x) = \frac{x ^{2} - 3 x - 4}{2 x ^{2} + x - 1}

x + \frac{9}{x}

1 + \frac{1}{x} - \frac{1}{x ^{2}}

What is the asymptotes of f(x)=(x^2-x-12)/(x+3) ?
The asymptotes of f(x)=(x^2-x-12)/(x+3) is Slant: y=x-4