What is the domain of f(x)= 1/(1-log_{10)(x)} ?

The domain of f(x)= 1/(1-log_{10)(x)} is 0 10

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)= 1/(1-log_{10)(x)}

domain

f (x) = \frac{1}{1 - lo g _{10} ( x )}

0 < x < 10 or x > 10

Interval Notation

(0, 10) \cup (10, \infty)

Solution steps

Find positive values for logs:

x > 0

Find undefined (singularity) points:

x = 10

Combine real regions and undefined points for final function domain

0 < x < 10 or x > 10

f (x) = x^{2} - 8 x + 21

x^{2} - 19

x^{10}

f (x) = \frac{x - 4}{x ^{2} + x - 20}

x^{2} - 11

What is the domain of f(x)= 1/(1-log_{10)(x)} ?
The domain of f(x)= 1/(1-log_{10)(x)} is 0<x<10\lor x>10