What is the domain of f(x)=(x+1)/(\sqrt[3]{x^3-x)} ?

The domain of f(x)=(x+1)/(\sqrt[3]{x^3-x)} is x 1

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domain of f(x)=(x+1)/(\sqrt[3]{x^3-x)}

domain

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

Solution steps

Find undefined (singularity) points:

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

The function domain

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

y = x^{2} + 3 x

\frac{1}{9.2 x - 3.1 x ^{2}}

f (x) = 3 ln (1 + x) - x^{2} + 4

f (x) = \frac{3}{2 x - 18}

f (x) = \frac{8 cos ( x )}{1 - sin ( x )}

What is the domain of f(x)=(x+1)/(\sqrt[3]{x^3-x)} ?
The domain of f(x)=(x+1)/(\sqrt[3]{x^3-x)} is x<-1\lor-1<x<0\lor 0<x<1\lor x>1