What is the inverse of f(x)=((3x-1))/((x+2)) ?

The inverse of f(x)=((3x-1))/((x+2)) is (-1-2x)/(x-3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=((3x-1))/((x+2))

inverse

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

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

Solution steps

y = \frac{3 x - 1}{x + 2}

Replace

x

with

y

x = \frac{3 y - 1}{y + 2}

Solve for

y, x = \frac{3 y - 1}{y + 2}

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

What is the inverse of f(x)=((3x-1))/((x+2)) ?
The inverse of f(x)=((3x-1))/((x+2)) is (-1-2x)/(x-3)