What is the inverse of f(x)=(3x-2)/(5-2x) ?

The inverse of f(x)=(3x-2)/(5-2x) is -(-2-5x)/(3+2x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=(3x-2)/(5-2x)

inverse

f (x) = \frac{3 x - 2}{5 - 2 x}

- \frac{- 2 - 5 x}{3 + 2 x}

Solution steps

y = \frac{3 x - 2}{5 - 2 x}

Replace

x

with

y

x = \frac{3 y - 2}{5 - 2 y}

Solve for

y, x = \frac{3 y - 2}{5 - 2 y}

- \frac{- 2 - 5 x}{3 + 2 x}

f (x) = x - x - 1

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

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

f (x) = (x + 1)^{2} - 1

f (x) = \frac{( 5 x - 3 )}{x}

What is the inverse of f(x)=(3x-2)/(5-2x) ?
The inverse of f(x)=(3x-2)/(5-2x) is -(-2-5x)/(3+2x)