What is the domain of \sqrt[3]{(4-27x^2)/(x^2)} ?

The domain of \sqrt[3]{(4-27x^2)/(x^2)} is x 0

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domain of \sqrt[3]{(4-27x^2)/(x^2)}

domain

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

f (x) = \frac{x}{2 x + 16}

f (x) = 3 x + 3

\frac{x ^{2}}{x - 3}

f (x) = \frac{( x + 1 ) ^{2}}{1 + x ^{2}}

f (x) = 10 x + 6

What is the domain of \sqrt[3]{(4-27x^2)/(x^2)} ?
The domain of \sqrt[3]{(4-27x^2)/(x^2)} is x<0\lor x>0