What is the range of 3/(x+5) ?

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of 3/(x+5)

range

\frac{3}{x + 5}

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

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{3}{x + 5}

Inverse of

\frac{3}{x + 5} : \frac{3}{x} - 5

\frac{3}{x} - 5

Find the domain of each inverse function

Domain of

\frac{3}{x} - 5 : x < 0 or x > 0

Combine the intervals

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

y = ln (\frac{3 x - 1}{1 - x})

x + y = 353

f (x) = \frac{1}{x ^{2} + x - 6}

y = - 5 x

f (x) = (- x^{2} + 16) (x + 1)