What is the range of 2/(x+2)+3 ?

The range of 2/(x+2)+3 is f(x) 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

range of 2/(x+2)+3

range

f (x) < 3 or f (x) > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{2}{x + 2} + 3

Inverse of

\frac{2}{x + 2} + 3 : \frac{- 2 x + 8}{x - 3}

\frac{- 2 x + 8}{x - 3}

Find the domain of each inverse function

Domain of

\frac{- 2 x + 8}{x - 3} : x < 3 or x > 3

Combine the intervals

f (x) < 3 or f (x) > 3