What is the domain of f(x)= 1/(2sqrt(4-x)) ?

The domain of f(x)= 1/(2sqrt(4-x)) is x<4

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domain of f(x)= 1/(2sqrt(4-x))

domain

f (x) = \frac{1}{2 4 - x}

x < 4

Solution steps

Find non-negative values for radicals:

x \leq 4

Find undefined (singularity) points:

x = 4

Combine real regions and undefined points for final function domain

x < 4

\frac{2 x + 1}{x - 3}

f (x) = x^{2} + 4 x + 3

7 sin (π x)

f (x) = x^{2} - 2 x - 24

f (x) = \frac{x ^{2} - 7}{x - 4}

What is the domain of f(x)= 1/(2sqrt(4-x)) ?
The domain of f(x)= 1/(2sqrt(4-x)) is x<4