What is the domain of f(x)=log_{10}((x-3)/(3x)) ?

The domain of f(x)=log_{10}((x-3)/(3x)) is x 3

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_{10}((x-3)/(3x))

domain

f (x) = lo g_{10} (\frac{x - 3}{3 x})

x < 0 or x > 3

Interval Notation

(- \infty, 0) \cup (3, \infty)

Solution steps

Find positive values for logs:

x < 0 or x > 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 3

f (x) = \frac{x ^{2} + 7 x + 2}{x + 2}

x^{2} - 7 x - 8

x^{6} + 2 x^{5} + 7 x^{2}

f (x) = \frac{x - 5}{x ^{2} - 4}

f (x) = \frac{2 x}{( x - 2 ) ( x - 7 )}

What is the domain of f(x)=log_{10}((x-3)/(3x)) ?
The domain of f(x)=log_{10}((x-3)/(3x)) is x<0\lor x>3