What is the domain of f(x)= x/(x^2+4x+3) ?

The domain of f(x)= x/(x^2+4x+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)= x/(x^2+4x+3)

domain

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

x < - 3 or - 3 < x < - 1 or x > - 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 3

The function domain

x < - 3 or - 3 < x < - 1 or x > - 1

What is the domain of f(x)= x/(x^2+4x+3) ?
The domain of f(x)= x/(x^2+4x+3) is x<-3\lor-3<x<-1\lor x>-1