What is the domain of f(x)=sqrt(((3-x))/((x+2))) ?

The domain of f(x)=sqrt(((3-x))/((x+2))) is -2<x<= 3

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(((3-x))/((x+2)))

domain

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

- 2 < x \leq 3

Interval Notation

(- 2, 3]

Solution steps

Find non-negative values for radicals:

- 2 < x \leq 3

Find undefined (singularity) points:

x = - 2

Combine real regions and undefined points for final function domain

- 2 < x \leq 3

\frac{3 x - 5}{x ^{2} - 5 x + 4}

f (x) = - 3.4

\frac{1}{18 - 3 x - x ^{2}}

f (x) = \frac{1}{( x + 5 ) ( x - 2 ) ( x - 7 )}

f (x) = - 1.1

What is the domain of f(x)=sqrt(((3-x))/((x+2))) ?
The domain of f(x)=sqrt(((3-x))/((x+2))) is -2<x<= 3