What is the asymptotes of f(x)=(x^3-8)/(x^2-7x+10) ?

The asymptotes of f(x)=(x^3-8)/(x^2-7x+10) is Vertical: x=5,Slant: y=x+7

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asymptotes of f(x)=(x^3-8)/(x^2-7x+10)

asymptotes

f (x) = \frac{x ^{3} - 8}{x ^{2} - 7 x + 10}

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

Solution steps

Vertical asymptotes of

\frac{x ^{3} - 8}{x ^{2} - 7 x + 10} : x = 5

Horizontal Asymptotes of

\frac{x ^{3} - 8}{x ^{2} - 7 x + 10} :

None

Slant Asymptotes of

\frac{x ^{3} - 8}{x ^{2} - 7 x + 10} : y = x + 7

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

\frac{7}{3 x - 1}

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

3 - x

f (x) = 8 x + 2

f (x) = 3 + n^{3}

What is the asymptotes of f(x)=(x^3-8)/(x^2-7x+10) ?
The asymptotes of f(x)=(x^3-8)/(x^2-7x+10) is Vertical: x=5,Slant: y=x+7