What is the domain of sqrt((x^3-27)/x) ?

The domain of sqrt((x^3-27)/x) is x = 3

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domain of sqrt((x^3-27)/x)

domain

\frac{x ^{3} - 27}{x}

x < 0 or x \geq 3

Interval Notation

(- \infty, 0) \cup [3, \infty)

Solution steps

Find non-negative values for radicals:

x < 0 or x \geq 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x \geq 3

What is the domain of sqrt((x^3-27)/x) ?
The domain of sqrt((x^3-27)/x) is x<0\lor x>= 3