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

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

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

domain

x < 3 or x > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3

The function domain

x < 3 or x > 3

\frac{1}{x + 25}

5 9 - x^{2}

- \frac{2 x}{( x ^{2} - 49 ) ^{2}}

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

sin^{2} (x) + cos (x)

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