What is the domain of f(x)= 1/(sqrt((x-1)(x-2))) ?

The domain of f(x)= 1/(sqrt((x-1)(x-2))) is x 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)= 1/(sqrt((x-1)(x-2)))

domain

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

x < 1 or x > 2

Interval Notation

(- \infty, 1) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 1 or x \geq 2

Find undefined (singularity) points:

x = 2, x = 1

Combine real regions and undefined points for final function domain

x < 1 or x > 2

What is the domain of f(x)= 1/(sqrt((x-1)(x-2))) ?
The domain of f(x)= 1/(sqrt((x-1)(x-2))) is x<1\lor x>2