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

y = ln (x^{2} - 12 x)

\frac{( 9 x )}{5} + 32

f (x) = \frac{x + 7}{x - 3}

\frac{x - 5}{x ^{2} - 4}

f (x) = x^{2} - 5 \cdot x - 4

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