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

The domain of f(x)=(x^2)/(sqrt(x^3-3))+3 is x>\sqrt[3]{3}

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

domain

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

Interval Notation

Solution steps

Find non-negative values for radicals:

Find undefined (singularity) points:

Combine real regions and undefined points for final function domain

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ln (1 - x)

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What is the domain of f(x)=(x^2)/(sqrt(x^3-3))+3 ?
The domain of f(x)=(x^2)/(sqrt(x^3-3))+3 is x>\sqrt[3]{3}