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

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

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domain of f(x)=sqrt(x-x^3)

domain

f (x) = 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

\frac{2 x - 1}{x - 1}

(x^{2} - 4)^{\frac{5}{3}}

4 x - 7

f (x) = \frac{e ^{x}}{x}

f (x) = \frac{24 - 2 x - x ^{2}}{x ^{2} - 4}

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