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

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

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

domain

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

\frac{4 x ^{2} - 5 x + 3}{x ^{2} + 4}

f (x) = \frac{1}{3} x - 2

lo g_{10} (x - 8)

f (x) = \frac{2}{t ^{2} - 16}

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