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

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

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

domain

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

x < 0 or x \geq 2

Interval Notation

(- \infty, 0) \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x < 0 or x \geq 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x \geq 2

f (x) = - x - 13

- 3 sin (\frac{π}{2} x) + 1

- x^{2} + 5 x + 1

f (x) = x^{2} - 5 x + 4

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

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