What is the asymptotes of f(x)=(-x^2+4x+2)/(x-3) ?

The asymptotes of f(x)=(-x^2+4x+2)/(x-3) is Vertical: x=3,Slant: y=-x+1

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asymptotes of f(x)=(-x^2+4x+2)/(x-3)

asymptotes

f (x) = \frac{- x ^{2} + 4 x + 2}{x - 3}

Vertical : x = 3, Slant : y = - x + 1

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

\frac{- x ^{2} + 4 x + 2}{x - 3} : y = - x + 1

Vertical : x = 3, Slant : y = - x + 1

y = 3 x + 7

y = - 25 x^{2} + 15 x + 120

(4, - 4), (6, 4)

x^{2} + x

What is the asymptotes of f(x)=(-x^2+4x+2)/(x-3) ?
The asymptotes of f(x)=(-x^2+4x+2)/(x-3) is Vertical: x=3,Slant: y=-x+1