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

The domain of f(x)= 1/(sqrt(1-log_{2)(x-1))} is 1<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)= 1/(sqrt(1-log_{2)(x-1))}

domain

f (x) = \frac{1}{1 - lo g _{2} ( x - 1 )}

1 < x < 3

Interval Notation

(1, 3)

Solution steps

Find non-negative values for radicals:

1 < x \leq 3

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

1 < x < 3

- 4 x + 7

\frac{x - 3}{x + 5}

y = x - x^{3}

f (x) = 5, 0 < x \leq 2

f (x) = x^{2} y^{2} + x y = 5

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