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) = 7 - 9 e^{x}

f (x) = - 4

- x + y = 5

h (x) = \frac{1}{x - 1}

f (x) = - 8 x^{2} + 4

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