What is the domain of f(x)=(10)/(sqrt(1-x)) ?

The domain of f(x)=(10)/(sqrt(1-x)) is x<1

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domain of f(x)=(10)/(sqrt(1-x))

domain

f (x) = \frac{10}{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{x + 8}{x - 4}

2 e^{x} - 33 x - 5

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

f (x) = ln (2 - x)

6 - x

What is the domain of f(x)=(10)/(sqrt(1-x)) ?
The domain of f(x)=(10)/(sqrt(1-x)) is x<1