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

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

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

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

x^{2} - 6 x + 10

x

f (x) = e^{x}

x^{3} + 3 x^{2} - 4 x - 12

f (x) = \frac{x ^{2} - 2 x + 4}{x - 2}

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