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

The domain of f(x)= 4/(sqrt(x)) is x>0

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

domain

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

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

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

f (x) = \frac{x + 2}{x ^{2} - x - 12}

f (x) = \frac{3 x - 2}{8 x + 24}

f (x) = \frac{2}{sin ( 3 x )} + sin (x)

arctan (\frac{1}{x})

What is the domain of f(x)= 4/(sqrt(x)) ?
The domain of f(x)= 4/(sqrt(x)) is x>0