What is the inverse of f(x)=((x+2))/(-2x+1) ?

The inverse of f(x)=((x+2))/(-2x+1) is -(2-x)/(1+2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=((x+2))/(-2x+1)

inverse

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

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

Solution steps

y = \frac{x + 2}{- 2 x + 1}

Replace

x

with

y

x = \frac{y + 2}{- 2 y + 1}

Solve for

y, x = \frac{y + 2}{- 2 y + 1}

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

What is the inverse of f(x)=((x+2))/(-2x+1) ?
The inverse of f(x)=((x+2))/(-2x+1) is -(2-x)/(1+2x)