What is the domain of (sqrt(x+3))/(sqrt(x^2-1)) ?

The domain of (sqrt(x+3))/(sqrt(x^2-1)) is -3 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of (sqrt(x+3))/(sqrt(x^2-1))

domain

- 3 \leq x < - 1 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

- 3 \leq x \leq - 1 or x \geq 1

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

- 3 \leq x < - 1 or x > 1

What is the domain of (sqrt(x+3))/(sqrt(x^2-1)) ?
The domain of (sqrt(x+3))/(sqrt(x^2-1)) is -3<= x<-1\lor x>1