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

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

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

domain

g (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

y = 7 x + 5

\frac{x}{9 - x}

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

f (x) = \frac{x + 6}{x - 3}

e^{5 x}

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