What is the range of 1/(x+4)+1 ?

The range of 1/(x+4)+1 is f(x) 1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of 1/(x+4)+1

range

\frac{1}{x + 4} + 1

f (x) < 1 or f (x) > 1

Interval Notation

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

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

\frac{1}{x + 4} + 1

Inverse of

\frac{1}{x + 4} + 1 : \frac{- 4 x + 5}{x - 1}

\frac{- 4 x + 5}{x - 1}

Find the domain of each inverse function

Domain of

\frac{- 4 x + 5}{x - 1} : x < 1 or x > 1

Combine the intervals

f (x) < 1 or f (x) > 1

f (x) = 36 - x^{2} + x^{2} - 25

(2.4) (4.2)

f (x) = \frac{4 x + 20}{x ^{2} + 5 x}

\frac{1}{4} x + 5

f (x) = 3 sin (2 x) + cos (\frac{x}{2})