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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of 2/(3+x)

range

\frac{2}{3 + x}

f (x) < 0 or f (x) > 0

Interval Notation

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

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{2}{3 + x}

Inverse of

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

\frac{2}{x} - 3

Find the domain of each inverse function

Domain of

\frac{2}{x} - 3 : x < 0 or x > 0

Combine the intervals

f (x) < 0 or f (x) > 0

6 x - 8 y = 24

f (x) = \frac{3 x + 6}{- 2 x - 3}

\frac{( x + 4 ) ( x - 1 )}{3 x + 2}

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

x^{14}