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

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

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

domain

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

x \leq 0 or x > 2

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq 0 or x > 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x \leq 0 or x > 2

\frac{7}{x ( x - 5 )}

\frac{\frac{5 x ^{2}}{9}}{\frac{15 x ^{3}}{27}}

y = 3 x - 5

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

f (x) = t^{\frac{2}{3}} - 4

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