What is the inverse of f(x)=((3x-4))/(2-x) ?

The inverse of f(x)=((3x-4))/(2-x) is -(-4-2x)/(3+x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=((3x-4))/(2-x)

inverse

f (x) = \frac{( 3 x - 4 )}{2 - x}

- \frac{- 4 - 2 x}{3 + x}

Solution steps

y = \frac{3 x - 4}{2 - x}

Replace

x

with

y

x = \frac{3 y - 4}{2 - y}

Solve for

y, x = \frac{3 y - 4}{2 - y}

- \frac{- 4 - 2 x}{3 + x}

What is the inverse of f(x)=((3x-4))/(2-x) ?
The inverse of f(x)=((3x-4))/(2-x) is -(-4-2x)/(3+x)