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

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

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

domain

\frac{x}{\frac{x}{x - 2}}

0 < x < 2 or x > 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 0, x = 2

Combine real regions and undefined points for final function domain

0 < x < 2 or x > 2

35 x - 5 y = - 350

f (x) = 1 - 2 x

\frac{2 x - 9}{- 4 x + 1}

6 sec (6 x) tan (6 x) d x

x^{2} - 4 x + 8

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