What is the domain of f(x)=1+sqrt((5-x)/(3-x)) ?

The domain of f(x)=1+sqrt((5-x)/(3-x)) is x = 5

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((5-x)/(3-x))

domain

f (x) = 1 + \frac{5 - x}{3 - x}

x < 3 or x \geq 5

Solution steps

Find non-negative values for radicals:

x < 3 or x \geq 5

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x < 3 or x \geq 5

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

f (x) = 2 sin (x) - 1

f (x) = \frac{x}{5}

f (x) = ln (x) + 2

f (x) = \frac{x ^{2} - 4}{x ^{2} - 5 x + 6}

What is the domain of f(x)=1+sqrt((5-x)/(3-x)) ?
The domain of f(x)=1+sqrt((5-x)/(3-x)) is x<3\lor x>= 5