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 x > 1

Interval Notation

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

Solution steps

Find positive values for logs:

x < - 3 or x > 1

Find undefined (singularity) points:

x = - 3

Combine real regions and undefined points for final function domain

x < - 3 or x > 1

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

\frac{5 x + 2}{x - 3}

lo g_{2} (x - 1)

f (x) = - \frac{1}{2} x - 3

y = 4 - 35 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 x>1