What is the range of 1/(1-\frac{1){x-2}} ?

The range of 1/(1-\frac{1){x-2}} 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/(1-\frac{1){x-2}}

range

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

f (x) < 0 or 0 < f (x) < 1 or f (x) > 1

Interval Notation

(- \infty, 0) \cup (0, 1) \cup (1, \infty)

Solution steps

Find the minimum and maximum value in each defined interval and unite the results

Domain of

\frac{1}{1 - \frac{1}{x - 2}} : x < 2 or 2 < x < 3 or x > 3

Simplify

\frac{1}{1 - \frac{1}{x - 2}} : \frac{x - 2}{x - 3}

Extreme Points of

\frac{x - 2}{x - 3} :

None

Find the range for the interval

- \infty < x < 2 : 0 < f (x) < 1

Find the range for the interval

2 < x < 3 : - \infty < f (x) < 0

Find the range for the interval

3 < x < \infty : 1 < f (x) < \infty

Combine the ranges of all domain intervals to obtain the function range

0 < f (x) < 1 or f (x) < 0 or f (x) > 1

f (x) < 0 or 0 < f (x) < 1 or f (x) > 1

x^{4} - 4 x^{2}

f (x) = \frac{5 x + 2}{20 x ^{2} - 11 x - 3}

f (x) = x^{2} - 4 x + 7

f (x) = 3 e^{x}

x^{2} - 8

What is the range of 1/(1-\frac{1){x-2}} ?
The range of 1/(1-\frac{1){x-2}} is f(x)<0\lor 0<f(x)<1\lor f(x)>1