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

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

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

asymptotes

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

Vertical : x = 3, Slant : y = x + 2

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 3, Slant : y = x + 2

y = \frac{( x ^{3} )}{x ^{2} - 9}

f (x) = \frac{( 3 x + 6 ) ( x - 1 )}{( x + 5 )}

x^{3} - 11 x^{2} + 39 x - 47

8 y - 3 x + 6 = 0

\frac{6 x}{36 - x ^{2}}

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