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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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