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

The domain of f(x)=(3x^2)/(sqrt(x^3-3^2)) is x>\sqrt[3]{9}

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

domain

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

Interval Notation

Solution steps

Find non-negative values for radicals:

Find undefined (singularity) points:

Combine real regions and undefined points for final function domain

f (x) = \frac{( x + 2 )}{( x ^{3} - 100 x )}

f (x) = \frac{4}{3 x - 12}

f (x) = t^{2} - 4

lo g_{2} (\frac{2}{3} x - 4)

f (x) = - x - 9

What is the domain of f(x)=(3x^2)/(sqrt(x^3-3^2)) ?
The domain of f(x)=(3x^2)/(sqrt(x^3-3^2)) is x>\sqrt[3]{9}