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

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

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

domain

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

x < 4

Interval Notation

(- \infty, 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

d o main f (x) = \frac{∣ x ∣ - 2}{2 x + 2}

d o main f (x) = 4 x^{5}

a sy m pt o t es f (x) = \frac{1}{x - 1}

in v erse f (x) = 5 + 3 x - 7

e x t re m e f (x) = 2 x^{3} - 3 x^{2} - 12 x

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