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

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

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

domain

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

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = - 1, x = 0

Combine real regions and undefined points for final function domain

x > 0

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