What is the domain of f(x)=ln|(x+1)/(x+3)| ?

The domain of f(x)=ln|(x+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

Popular >

domain of f(x)=ln|(x+1)/(x+3)|

domain

f (x) = ln \frac{x + 1}{x + 3}

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

Interval Notation

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

Solution steps

Find positive values for logs:

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

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

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

f (x) = (9 - 2 x) (7 - 2 x) x

1 - \frac{9}{x ^{2}}

4 x - 28

f (x) = 2 x^{2} + 5 x - 12

f (x) = x^{2} - 4 + 9 - 3 x

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