What is the domain of f(x)=log_{2}((3x-1)/(x-1)+1) ?

The domain of f(x)=log_{2}((3x-1)/(x-1)+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)=log_{2}((3x-1)/(x-1)+1)

domain

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

x < \frac{1}{2} or x > 1

Interval Notation

(- \infty, \frac{1}{2}) \cup (1, \infty)

Solution steps

Find positive values for logs:

x < \frac{1}{2} or x > 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x < \frac{1}{2} or x > 1

f (x) = - x^{2} + 20 x - 95

f (x) = \frac{x + 1}{2 x ^{2} + 8}

f (x) = \frac{3 x - 2}{x ^{2} + 25}

g (x) = 4^{x + 3}

f (x) = (- 3 x + 2)^{2} + 7

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