What is the domain of f(x)=ln(x)+sqrt(|x-1|-2)+cos(x) ?

The domain of f(x)=ln(x)+sqrt(|x-1|-2)+cos(x) 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)=ln(x)+sqrt(|x-1|-2)+cos(x)

domain

f (x) = ln (x) + ∣ x - 1 ∣ - 2 + cos (x)

x \geq 3

Interval Notation

[3, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x \geq 3

Find positive values for logs:

x > 0

Combine real regions and undefined points for final function domain

x \geq 3

\frac{3 x + 4}{2 x - 3}

f (x) = \frac{arcsin ( x )}{ln ( 1 - x ^{2} )}

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

ln (x^{2} - 8 x)

f (x) = - 3 x^{2} + 7 x + 9

What is the domain of f(x)=ln(x)+sqrt(|x-1|-2)+cos(x) ?
The domain of f(x)=ln(x)+sqrt(|x-1|-2)+cos(x) is x>= 3