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

The domain of f(x)=sqrt(x/(1-x)) is 0<= x<1

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

domain

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

0 \leq x < 1

Interval Notation

[0, 1)

Solution steps

Find non-negative values for radicals:

0 \leq x < 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 \leq x < 1

f (x) = \frac{x - 1}{x ^{2} + 9}

f (x) = - x^{4} + x^{3} + 9 x

f (x) = lo g_{10} (2 x)

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

\frac{x ^{2} + 2 x}{x ^{2} + 5 x + 6}

What is the domain of f(x)=sqrt(x/(1-x)) ?
The domain of f(x)=sqrt(x/(1-x)) is 0<= x<1