What is the domain of \sqrt[3]{5-\sqrt[3]{5-x}} ?

The domain of \sqrt[3]{5-\sqrt[3]{5-x}} is -infinity <x<infinity

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domain of \sqrt[3]{5-\sqrt[3]{5-x}}

domain

3 5 - 3 5 - x

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

The function has no undefined points nor domain constraints. Therefore, the domain is

- \infty < x < \infty

y = \frac{6 x + 5}{4 x - 3}

f (x) = \frac{x + 9}{8 x ^{2} - x - 9}

f (x) = 3 sin (\frac{2 π}{5}) (x + 1) - 2

f (t) = 6 t^{2} + 500 t + 8000

f (x) = \frac{1}{x ^{2} + 4 x + 3}

What is the domain of \sqrt[3]{5-\sqrt[3]{5-x}} ?
The domain of \sqrt[3]{5-\sqrt[3]{5-x}} is -infinity <x<infinity