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

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

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

domain

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

\frac{1}{3} x^{3} + x^{2} - 3 x - 5

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

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

f (x) = \frac{( x ^{2} + 1 )}{x ^{3} + 1}

f (x) = \frac{1}{27} x^{3}

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