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

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

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

asymptotes

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

Vertical : x = 1, Slant : y = x

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

Vertical : x = 1, Slant : y = x

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

\frac{x ^{2} + 3}{2 x - 1}

\frac{2 x ^{2} - x}{( x - 5 ) ^{2}}

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

x 7 - x

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