What is the range of (2x)/(2x-4) ?

The range of (2x)/(2x-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 (2x)/(2x-4)

range

\frac{2 x}{2 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{2 x}{2 x - 4}

Inverse of

\frac{2 x}{2 x - 4} : \frac{2 x}{x - 1}

\frac{2 x}{x - 1}

Find the domain of each inverse function

Domain of

\frac{2 x}{x - 1} : x < 1 or x > 1

Combine the intervals

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

f (x) = 5 x^{2} + 6 x - 6

2 x + y = 3, (4, 1)

f (x) = 5 - x^{2}

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

f (x) = \frac{x ^{2} - 2 x - 8}{x}

What is the range of (2x)/(2x-4) ?
The range of (2x)/(2x-4) is f(x)<1\lor f(x)>1