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

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

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

domain

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

x < - 4 or x \geq 1

Interval Notation

(- \infty, - 4) \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x < - 4 or x \geq 1

Find undefined (singularity) points:

x = - 4

Combine real regions and undefined points for final function domain

x < - 4 or x \geq 1

f (x) = \frac{0}{0}

f (x) = (- \frac{1}{1500} x + \frac{83}{3}) x

\frac{8}{( 2 x - 5 ) ^{3}}

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

(\frac{1}{2})^{x}

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