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

The domain of f(x)=x-2/(sqrt(x)) is x>0

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

domain

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

y = - \frac{4}{5} x + \frac{1}{5}

f (x) = \frac{2}{x - 3 - 1}

y = - 3 + x

f (x) = 7 x ∣ x ∣

y = 2 x - 5

What is the domain of f(x)=x-2/(sqrt(x)) ?
The domain of f(x)=x-2/(sqrt(x)) is x>0