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

The domain of sqrt(x-x^3) is x<=-1\lor 0<= x<= 1

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domain of sqrt(x-x^3)

domain

x - x^{3}

x \leq - 1 or 0 \leq x \leq 1

Interval Notation

(- \infty, - 1] \cup [0, 1]

Solution steps

Find non-negative values for radicals:

x \leq - 1 or 0 \leq x \leq 1

The function domain

x \leq - 1 or 0 \leq x \leq 1

f (x) = \frac{x + 2}{6 - x}

4 x + 8

f (x) = lo g_{5} (- x^{2} + 7 ∣ x ∣ - 12)

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

\frac{x ^{2} + 6 x + 11}{x + 4}

What is the domain of sqrt(x-x^3) ?
The domain of sqrt(x-x^3) is x<=-1\lor 0<= x<= 1