What is the domain of f(x)=(x^3)/(sqrt(5-x)) ?

The domain of f(x)=(x^3)/(sqrt(5-x)) is x<5

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domain of f(x)=(x^3)/(sqrt(5-x))

domain

f (x) = \frac{x ^{3}}{5 - x}

x < 5

Interval Notation

(- \infty, 5)

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x < 5

What is the domain of f(x)=(x^3)/(sqrt(5-x)) ?
The domain of f(x)=(x^3)/(sqrt(5-x)) is x<5