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

f (x) = 5 x^{2} - 9

f (x) = sin (x - 3)

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

f (x) = 4^{x} - 2^{x}

f (x) = e^{x^{2}} \cdot x^{2}

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