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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

domain

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

1 \leq x < 2

Interval Notation

[1, 2)

Solution steps

Find non-negative values for radicals:

1 \leq x < 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

1 \leq x < 2

(- 2 x)^{2}

ln ((x + 2) (x - 1)^{2})

h (x) = x - 4

x^{2} - 4 x - 1

x^{2} - 4 x + 1

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