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

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

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

domain

f (x) = 3 x - x^{3}

x \leq - 3 or 0 \leq x \leq 3

Interval Notation

(- \infty, - 3] \cup [0, 3]

Solution steps

Find non-negative values for radicals:

x \leq - 3 or 0 \leq x \leq 3

The function domain

x \leq - 3 or 0 \leq x \leq 3

y = 5 x - 5

f (x) = \frac{2}{x + 5}

\frac{1}{6} x^{4} + 2 x^{3} + 9 x^{2}

\frac{x - 2}{1 - 3 x}

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

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