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

The domain of (sqrt(x))/(\sqrt[3]{x-1)} is 0 1

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

domain

0 \leq x < 1 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 \leq x < 1 or x > 1

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