What is the asymptotes of f(x)=((x^2+x+2))/(x-1) ?

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

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asymptotes of f(x)=((x^2+x+2))/(x-1)

asymptotes

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

Vertical : x = 1, Slant : y = x + 2

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

\frac{x ^{2} + x + 2}{x - 1} :

None

Slant Asymptotes of

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

Vertical : x = 1, Slant : y = x + 2

(x - 1)^{2} + 2

f (x) = x + x + 1

f (x) = \frac{x + 1}{x ^{2} - 4}

\frac{x + 1}{10 ( x - 2 )}

(- 1, 2), (3, 2)

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