What is the domain of f(x)=(x^3)/(x^2-x) ?

The domain of f(x)=(x^3)/(x^2-x) is x 1

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domain of f(x)=(x^3)/(x^2-x)

domain

f (x) = \frac{x ^{3}}{x ^{2} - x}

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

Interval Notation

(- \infty, 0) \cup (0, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = 0

The function domain

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

What is the domain of f(x)=(x^3)/(x^2-x) ?
The domain of f(x)=(x^3)/(x^2-x) is x<0\lor 0<x<1\lor x>1