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

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

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

domain

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

x < 0 or 0 < x < 1 or x > 1

Solution steps

Find undefined (singularity) points:

x = 1, x = 0

The function domain

x < 0 or 0 < x < 1 or x > 1

(1.6) (3.2)

(10.2) (40.1)

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

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

What is the domain of f(x)=(x-1)/(x^2-x) ?
The domain of f(x)=(x-1)/(x^2-x) is x<0\lor 0<x<1\lor x>1