What is the asymptotes of f(x)=(x^2-x+6)/(x+3) ?

The asymptotes of f(x)=(x^2-x+6)/(x+3) is Vertical: x=-3,Slant: y=x-4

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asymptotes of f(x)=(x^2-x+6)/(x+3)

asymptotes

f (x) = \frac{x ^{2} - x + 6}{x + 3}

Vertical : x = - 3, Slant : y = x - 4

Solution steps

Vertical asymptotes of

\frac{x ^{2} - x + 6}{x + 3} : x = - 3

Horizontal Asymptotes of

\frac{x ^{2} - x + 6}{x + 3} :

None

Slant Asymptotes of

\frac{x ^{2} - x + 6}{x + 3} : y = x - 4

Vertical : x = - 3, Slant : y = x - 4

(0, 1), (8, 7)

- 2.318 + 0.2356 x - 0.002674 x^{2}

(1, 0), (- 5, - 6)

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

(2, - 2), (4, 1)

What is the asymptotes of f(x)=(x^2-x+6)/(x+3) ?
The asymptotes of f(x)=(x^2-x+6)/(x+3) is Vertical: x=-3,Slant: y=x-4