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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

domain

x < - 3 or x \geq 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x < - 3 or x \geq 1

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or x \geq 1

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