What is the asymptotes of f(x)=(x^3-27)/(x^2-7x+12) ?

The asymptotes of f(x)=(x^3-27)/(x^2-7x+12) is Vertical: x=4,Slant: y=x+7

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asymptotes of f(x)=(x^3-27)/(x^2-7x+12)

asymptotes

f (x) = \frac{x ^{3} - 27}{x ^{2} - 7 x + 12}

Vertical : x = 4, Slant : y = x + 7

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 27}{x ^{2} - 7 x + 12} : x = 4

Horizontal Asymptotes of

\frac{x ^{3} - 27}{x ^{2} - 7 x + 12} :

None

Slant Asymptotes of

\frac{x ^{3} - 27}{x ^{2} - 7 x + 12} : y = x + 7

Vertical : x = 4, Slant : y = x + 7

5 x - y = 9

f (x) = x^{\frac{2}{3}} (x - 5)

f (x) = \frac{7 x}{x ^{2} + 5}

(8, 10), (6, 4)

What is the asymptotes of f(x)=(x^3-27)/(x^2-7x+12) ?
The asymptotes of f(x)=(x^3-27)/(x^2-7x+12) is Vertical: x=4,Slant: y=x+7