What is the domain of f(x)=ln(1/(x-1)) ?

The domain of f(x)=ln(1/(x-1)) 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(1/(x-1))

domain

f (x) = ln (\frac{1}{x - 1})

x > 1

Interval Notation

(1, \infty)

Solution steps

Find positive values for logs:

x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x > 1

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

- \frac{1}{2 ( 5 + x ) ^{\frac{3}{2}}}

y = (x + 4) - 6

f (x) = \frac{9}{x - 7}

u (x) = 2 - x