What is the range of f(x)=6-(2/(2x-1)) ?

The range of f(x)=6-(2/(2x-1)) is f(x) 6

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

range of f(x)=6-(2/(2x-1))

range

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

f (x) < 6 or f (x) > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

The function range is the combined domain of the inverse functions

Find the inverse function(s) of:

6 - \frac{2}{2 x - 1}

Inverse of

6 - \frac{2}{2 x - 1} : \frac{x - 8}{2 ( - 6 + x )}

\frac{x - 8}{2 ( - 6 + x )}

Find the domain of each inverse function

Domain of

\frac{x - 8}{2 ( - 6 + x )} : x < 6 or x > 6

Combine the intervals

f (x) < 6 or f (x) > 6

f (x) = e^{x} - 2 e^{- x} - 3 x

f (x) = (0, 3), (4, 2), (5, - 6)

f (x) = 4 x^{3} - 3

f (x) = \frac{3}{2} (\frac{1}{2}) + 1

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

What is the range of f(x)=6-(2/(2x-1)) ?
The range of f(x)=6-(2/(2x-1)) is f(x)<6\lor f(x)>6