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

The range of (x-4)/(x+4) 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 (x-4)/(x+4)

range

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

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{x - 4}{x + 4}

Inverse of

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

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

Find the domain of each inverse function

Domain of

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

Combine the intervals

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

y = x^{2} + 2 x - 3

(- 3, 2), (2, - 3)

f (x) = - 3 x + 4

f (x) = x^{2} - 4, x \leq 0

f (x) = 11101000011

What is the range of (x-4)/(x+4) ?
The range of (x-4)/(x+4) is f(x)<1\lor f(x)>1