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

The FUNCTION_MANY#domain of f(x)=(sqrt(x)-x^2)/(x^3+2) is x>= 0

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FUNCTION_MANY#domain of f(x)=(sqrt(x)-x^2)/(x^3+2)

domain

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

x \geq 0

Interval Notation

[0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

Combine real regions and undefined points for final function domain

x \geq 0

What is the FUNCTION_MANY#domain of f(x)=(sqrt(x)-x^2)/(x^3+2) ?
The FUNCTION_MANY#domain of f(x)=(sqrt(x)-x^2)/(x^3+2) is x>= 0