What is the domain of f(x)=(x^3-1)^{2/3} ?

The domain of f(x)=(x^3-1)^{2/3} is -infinity <x<infinity

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domain of f(x)=(x^3-1)^{2/3}

domain

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

- \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

f (x) = lo g_{10} (6 - x)

6 x - 4

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

f (x) = cos (arctan (1 - x^{2}))

f (x) = \frac{1 - x}{2 x - 3}

What is the domain of f(x)=(x^3-1)^{2/3} ?
The domain of f(x)=(x^3-1)^{2/3} is -infinity <x<infinity