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

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

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

domain

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

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \geq 2

f (x) = - x^{4} + 4 x^{2} + 3

f (x) = 10 (x + 7)

(- 3, 2), (7, - 3)

y = - 2 x - 1

\frac{x + 2}{6}

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