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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

\frac{( x ^{2} - x - 2 )}{x - 1}

f (x) = \frac{x - 5}{x ^{2} - 1}

f (x) = \frac{9 x ^{3}}{3 x ^{2} + 1}

f (x) = \frac{x - 1}{( x + 2 ) ( x - 5 )}

f (x) = x + ln (x)

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