What is the domain of sqrt(2x-x^3) ?

The domain of sqrt(2x-x^3) is x<=-sqrt(2)\lor 0<= x<= sqrt(2)

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domain of sqrt(2x-x^3)

domain

2 x - x^{3}

x \leq - 2 or 0 \leq x \leq 2

Interval Notation

(- \infty, - 2] \cup [0, 2]

Solution steps

Find non-negative values for radicals:

x \leq - 2 or 0 \leq x \leq 2

The function domain

x \leq - 2 or 0 \leq x \leq 2

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

f (x) = \frac{10}{2 - 3 x}

y = (x + 1)

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

f (x) = arccos (x - 1) sec (x)

What is the domain of sqrt(2x-x^3) ?
The domain of sqrt(2x-x^3) is x<=-sqrt(2)\lor 0<= x<= sqrt(2)