What is the asymptotes of f(x)=(x^2+x-12)/(x-4) ?

The asymptotes of f(x)=(x^2+x-12)/(x-4) is Vertical: x=4,Slant: y=x+5

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asymptotes of f(x)=(x^2+x-12)/(x-4)

asymptotes

f (x) = \frac{x ^{2} + x - 12}{x - 4}

Vertical : x = 4, Slant : y = x + 5

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{x ^{2} + x - 12}{x - 4} : y = x + 5

Vertical : x = 4, Slant : y = x + 5

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

(- 1, 2), (2, - 4)

4 x^{2} - 3 x

f (x) = x^{4} - 1

y = 2 x - 7

What is the asymptotes of f(x)=(x^2+x-12)/(x-4) ?
The asymptotes of f(x)=(x^2+x-12)/(x-4) is Vertical: x=4,Slant: y=x+5