What is the domain of f(x)=sqrt((-x-10)/(x^3)) ?

The domain of f(x)=sqrt((-x-10)/(x^3)) is -10<= x<0

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domain of f(x)=sqrt((-x-10)/(x^3))

domain

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

- 10 \leq x < 0

Interval Notation

[- 10, 0)

Solution steps

Find non-negative values for radicals:

- 10 \leq x < 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 10 \leq x < 0

f (x) = \frac{x - 2}{x ^{2} - 81}

h (x) = - x + 2

4^{x - 1}

- \frac{1}{4} x + \frac{2}{3}

What is the domain of f(x)=sqrt((-x-10)/(x^3)) ?
The domain of f(x)=sqrt((-x-10)/(x^3)) is -10<= x<0