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

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

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

domain

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

x < - 1 or - 1 < x < 0 or 0 < x < 2 or x > 2

Solution steps

Find undefined (singularity) points:

x = 0, x = - 1, x = 2

The function domain

x < - 1 or - 1 < x < 0 or 0 < x < 2 or x > 2

- \frac{3}{2} x^{4} + 6 x^{3} + 72 x^{2}

4 x + 10

f (x) = - x^{2} - 2

f (x) = x^{3} + 8 x

3 x - y + 9 = 0

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