What is the domain of f(x)=-1/(2sqrt(1-x)) ?

The domain of f(x)=-1/(2sqrt(1-x)) is x<1

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domain of f(x)=-1/(2sqrt(1-x))

domain

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

\frac{1}{\frac{1}{x}}

y = x^{2} + 1

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

f (x) = \frac{x}{x - 4}

What is the domain of f(x)=-1/(2sqrt(1-x)) ?
The domain of f(x)=-1/(2sqrt(1-x)) is x<1