What is the inverse of f(x)=6x(1-x) ?

The inverse of f(x)=6x(1-x) is -(-6+sqrt(36-24x))/(12),-(-6-sqrt(36-24x))/(12)

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inverse of f(x)=6x(1-x)

inverse

f (x) = 6 x (1 - x)

- \frac{- 6 + 36 - 24 x}{12}, - \frac{- 6 - 36 - 24 x}{12}

Solution steps

y = 6 x (1 - x)

Replace

x

with

y

x = 6 y (1 - y)

Solve for

y, x = 6 y (1 - y)

- \frac{- 6 + 36 - 24 x}{12}, - \frac{- 6 - 36 - 24 x}{12}

2 y - x = 4

f (x) = 2 x + 34

y = 2 - 8 x

y = x^{2} + 16 x + 71

y = - 5 x + 7

What is the inverse of f(x)=6x(1-x) ?
The inverse of f(x)=6x(1-x) is -(-6+sqrt(36-24x))/(12),-(-6-sqrt(36-24x))/(12)