What is the domain of f(x)=log_{10}((x+7)/x) ?

The domain of f(x)=log_{10}((x+7)/x) is x 0

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+7)/x)

domain

f (x) = lo g_{10} (\frac{x + 7}{x})

x < - 7 or x > 0

Interval Notation

(- \infty, - 7) \cup (0, \infty)

Solution steps

Find positive values for logs:

x < - 7 or x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < - 7 or x > 0

\frac{3 x}{x + 7}

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

ln (4 x - 5)

y = \frac{4}{x + 1}

y = - x^{2} - 2 x - 3

What is the domain of f(x)=log_{10}((x+7)/x) ?
The domain of f(x)=log_{10}((x+7)/x) is x<-7\lor x>0