What is the range of 1/(x+5)+3 ?

The range of 1/(x+5)+3 is f(x) 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of 1/(x+5)+3

range

\frac{1}{x + 5} + 3

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

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{1}{x + 5} + 3

Inverse of

\frac{1}{x + 5} + 3 : \frac{- 5 x + 16}{x - 3}

\frac{- 5 x + 16}{x - 3}

Find the domain of each inverse function

Domain of

\frac{- 5 x + 16}{x - 3} : x < 3 or x > 3

Combine the intervals

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

f (x) = 3 + 2 ln (x - 1)

x^{3} + 2 x^{2} + x - 7

y = - x^{2} + 8 x - 17

f (x) = 9 - x^{2} + x + 1

y^{2} = 2 x^{4} - 4