What is the domain of f(x)=sqrt(1/(x(x+4))) ?

The domain of f(x)=sqrt(1/(x(x+4))) is x 0

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(1/(x(x+4)))

domain

f (x) = \frac{1}{x ( x + 4 )}

x < - 4 or x > 0

Interval Notation

(- \infty, - 4) \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x < - 4 or x > 0

Find undefined (singularity) points:

x = 0, x = - 4

Combine real regions and undefined points for final function domain

x < - 4 or x > 0

f (x) = \frac{x ^{2}}{x ^{2} - 3 x - 10}

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

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

f (x) = - (x - 4) (x + 2) (x - 1)

3 + x + 2

What is the domain of f(x)=sqrt(1/(x(x+4))) ?
The domain of f(x)=sqrt(1/(x(x+4))) is x<-4\lor x>0