What is the domain of f(x)=sqrt((x+1)/(x-2)) ?

The domain of f(x)=sqrt((x+1)/(x-2)) is x 2

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-2))

domain

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

x \leq - 1 or x > 2

Interval Notation

(- \infty, - 1] \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 1 or x > 2

Find undefined (singularity) points:

x = 2

Combine real regions and undefined points for final function domain

x \leq - 1 or x > 2

m = 0, (2, - 1)

(x - 5)^{2}

\frac{4}{x - 5}

f (x) = x

f (x) = - 4 cos (5 x - 9) - 7

What is the domain of f(x)=sqrt((x+1)/(x-2)) ?
The domain of f(x)=sqrt((x+1)/(x-2)) is x<=-1\lor x>2