What is the domain of sqrt((x-3)/(x-1)) ?

The domain of sqrt((x-3)/(x-1)) is x = 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of sqrt((x-3)/(x-1))

domain

\frac{x - 3}{x - 1}

x < 1 or x \geq 3

Interval Notation

(- \infty, 1) \cup [3, \infty)

Solution steps

Find non-negative values for radicals:

x < 1 or x \geq 3

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x < 1 or x \geq 3

f (x) = (\frac{1}{2})^{x - 5} + 2

f (x) = \frac{5 e ^{x} - 8}{e ^{x} + 10}

f (x) = - 2 (x + 3)^{2} - 6

f (x) = 5 (x - 1)

(4, 2), (4, 0)

What is the domain of sqrt((x-3)/(x-1)) ?
The domain of sqrt((x-3)/(x-1)) is x<1\lor x>= 3