What is the domain of f(x)=(sqrt(x-4))/(x^2-10) ?

The domain of f(x)=(sqrt(x-4))/(x^2-10) is x>= 4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(sqrt(x-4))/(x^2-10)

domain

x \geq 4

Interval Notation

[4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 10, x = - 10

Combine real regions and undefined points for final function domain

x \geq 4

What is the domain of f(x)=(sqrt(x-4))/(x^2-10) ?
The domain of f(x)=(sqrt(x-4))/(x^2-10) is x>= 4