What is the domain of f(x)=(\sqrt[3]{x})/(|x|) ?

The domain of f(x)=(\sqrt[3]{x})/(|x|) is x 0

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domain of f(x)=(\sqrt[3]{x})/(|x|)

domain

f (x) = \frac{3 x}{∣ x ∣}

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = 64 - x^{2} - x + 2

2 cos (2 x)

π - 2

x + \frac{1}{x} + \frac{1}{x + \frac{1}{x}}

e^{2 x^{2}}

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