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

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

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

asymptotes

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

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

Solution steps

Vertical asymptotes of

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

Horizontal Asymptotes of

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

None

Slant Asymptotes of

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

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

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

f (x) = \frac{x}{2 x ^{2} - 32}

f (x) = \frac{( x ^{2} + x - 6 )}{2 x ^{2} - 18}

f (x) = y (x - 3)^{2} = x^{2} + 9

y = 3 cot (x)

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