What is the domain of (2x-sqrt(x-4))/(sqrt(x+6)-x) ?

The domain of (2x-sqrt(x-4))/(sqrt(x+6)-x) 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 (2x-sqrt(x-4))/(sqrt(x+6)-x)

domain

\frac{2 x - x - 4}{x + 6 - x}

x \geq 4

Interval Notation

[4, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 4

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

x \geq 4

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

f (x) = \frac{8 x + 5}{2 - 5 x}

f (x) = \frac{8 x + 5}{4 x + 2}

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

g (x) = x^{2} - 4 x

What is the domain of (2x-sqrt(x-4))/(sqrt(x+6)-x) ?
The domain of (2x-sqrt(x-4))/(sqrt(x+6)-x) is x>= 4