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

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

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domain of f(x)=sqrt((-2x)^3)

domain

f (x) = (- 2 x)^{3}

x \leq 0

Interval Notation

(- \infty, 0]

Solution steps

Find non-negative values for radicals:

x \leq 0

The function domain

x \leq 0

f (x) = x^{2} - 2 x - 24

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

\frac{1}{x + 5} - 1

\frac{1}{x + 5} - 4

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

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