What is the domain of f(x)=(sqrt(x-4))/(x-2) ?

The domain of f(x)=(sqrt(x-4))/(x-2) is x>= 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(sqrt(x-4))/(x-2)

domain

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

x \geq 4

Interval Notation

[4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x \geq 4

f (x) = \frac{x + 9}{x ^{2} + 7 x - 18}

\frac{2}{x ^{2} + 2 x - 35}

x - 2 + x

y = \frac{x - 2}{x ^{2} + 5 x + 6}

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

What is the domain of f(x)=(sqrt(x-4))/(x-2) ?
The domain of f(x)=(sqrt(x-4))/(x-2) is x>= 4