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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

domain

\frac{2}{x ^{2} - 1} + x + 3

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

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq - 3

Find undefined (singularity) points:

x = 1, x = - 1

Combine real regions and undefined points for final function domain

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

\frac{1}{2} tan (2 x)

f (x) = - x + 1

f (x) = \frac{2}{x - 3} + 4

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