What is the asymptotes of f(x)=(x^3+1)/(x^2-5x-14) ?

The asymptotes of f(x)=(x^3+1)/(x^2-5x-14) is Vertical: x=-2,x=7,Slant: y=x+5

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asymptotes of f(x)=(x^3+1)/(x^2-5x-14)

asymptotes

f (x) = \frac{x ^{3} + 1}{x ^{2} - 5 x - 14}

Vertical : x = - 2, x = 7, Slant : y = x + 5

Solution steps

Vertical asymptotes of

\frac{x ^{3} + 1}{x ^{2} - 5 x - 14} : x = - 2, x = 7

Horizontal Asymptotes of

\frac{x ^{3} + 1}{x ^{2} - 5 x - 14} :

None

Slant Asymptotes of

\frac{x ^{3} + 1}{x ^{2} - 5 x - 14} : y = x + 5

Vertical : x = - 2, x = 7, Slant : y = x + 5

f (x) = \frac{x + 2}{2 x - 14}

x^{4} - 4 x^{3}

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

f (x) = \frac{2 x + 5}{x + 1}

f (x) = \frac{5 x + 4}{3 x - 30}

What is the asymptotes of f(x)=(x^3+1)/(x^2-5x-14) ?
The asymptotes of f(x)=(x^3+1)/(x^2-5x-14) is Vertical: x=-2,x=7,Slant: y=x+5