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

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

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

domain

f (x) = \frac{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

f (x) = \frac{( 4 x ^{3} )}{x - 5}

f (x) = 5 - 4 x^{3}

f (x) = \frac{x ^{2} - 2}{2 x ^{2} - 18}

f (x) = - ln (1 - 2 x) + 1

y = x^{2} - 4

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