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

The domain of (sqrt(1-x))/(x^2-1) is x<-1\lor-1<x<1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of (sqrt(1-x))/(x^2-1)

domain

\frac{1 - x}{x ^{2} - 1}

x < - 1 or - 1 < x < 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq 1

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

x < - 1 or - 1 < x < 1

f (x) = \frac{x - 1}{x ^{2} - 81}

(x - 1)^{2}

f (r) = \frac{2}{r ^{2} + 1}

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

y = \frac{4 x + 3}{2 x - 1}

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