What is the domain of \sqrt[3]{1+sqrt(|x|-3)} ?

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

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domain of \sqrt[3]{1+sqrt(|x|-3)}

domain

x \leq - 3 or x \geq 3

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq - 3 or x \geq 3

The function domain

x \leq - 3 or x \geq 3

sin (- 2 x)

f (x) = (2 x + 3) x^{2} + 8

\frac{x + 9}{2}

f (x) = x^{2} + 25

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