What is the domain of f(x)=(x^3)/(sqrt(1-x)) ?

The domain of f(x)=(x^3)/(sqrt(1-x)) is x<1

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domain of f(x)=(x^3)/(sqrt(1-x))

domain

f (x) = \frac{x ^{3}}{1 - x}

x < 1

Interval Notation

(- \infty, 1)

Solution steps

Find non-negative values for radicals:

x \leq 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x < 1

f (x) = 4 x - 9

x^{2} - 4 x - 21

(20 - x)^{\frac{1}{4}}

x - 1

f (x) = - 2 + 2 cos (2 x + \frac{5 π}{3})

What is the domain of f(x)=(x^3)/(sqrt(1-x)) ?
The domain of f(x)=(x^3)/(sqrt(1-x)) is x<1