What is the inverse of f(x)=2x(6-x) ?

The inverse of f(x)=2x(6-x) is -(-12+sqrt(144-8x))/4 ,-(-12-sqrt(144-8x))/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

inverse of f(x)=2x(6-x)

inverse

f (x) = 2 x (6 - x)

- \frac{- 12 + 144 - 8 x}{4}, - \frac{- 12 - 144 - 8 x}{4}

Solution steps

y = 2 x (6 - x)

Replace

x

with

y

x = 2 y (6 - y)

Solve for

y, x = 2 y (6 - y)

- \frac{- 12 + 144 - 8 x}{4}, - \frac{- 12 - 144 - 8 x}{4}

What is the inverse of f(x)=2x(6-x) ?
The inverse of f(x)=2x(6-x) is -(-12+sqrt(144-8x))/4 ,-(-12-sqrt(144-8x))/4