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

The domain of f(x)=(x^2-2x+2)/(x-1) is x 1

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

domain

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

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

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

f (x) = 2 arcsin (\frac{x}{2}) + π

\frac{x + 4}{3}

f (x) = lo g_{4} (x - 3)

f (x) = ln (x + 8)

What is the domain of f(x)=(x^2-2x+2)/(x-1) ?
The domain of f(x)=(x^2-2x+2)/(x-1) is x<1\lor x>1