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

The domain of f(x)= 1/(sin(x)sqrt(x)) is x>0

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domain of f(x)= 1/(sin(x)sqrt(x))

domain

f (x) = \frac{1}{sin ( x ) 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{3}{x} + 1

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

f (x) = \frac{3}{x} + 5

f (x) = 2 arctan (1 - x^{2})

f (x) = (2 x - 3) + x - 5

What is the domain of f(x)= 1/(sin(x)sqrt(x)) ?
The domain of f(x)= 1/(sin(x)sqrt(x)) is x>0