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

f (x) = 4 x - 2

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

\frac{1}{s + 10}

(x^{2} - 4)^{2}

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