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

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

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

domain

f (x) = \frac{1}{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

(2.5) (8.3)

\frac{x + 4}{x - 2}

f (x) = 7 (- 4 x^{2} + 16)^{2} + 9

g (x) = x^{2} - 2 x - 8

f (x) = - \frac{21}{( 5 + x ) ^{2}}

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