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

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

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inverse of f(x)=2x(1-x)

inverse

f (x) = 2 x (1 - x)

- \frac{- 1 + - 2 x + 1}{2}, \frac{- 2 x + 1 + 1}{2}

Solution steps

y = 2 x (1 - x)

Replace

x

with

y

x = 2 y (1 - y)

Solve for

y, x = 2 y (1 - y)

- \frac{- 1 + - 2 x + 1}{2}, \frac{- 2 x + 1 + 1}{2}

0.9

Y (x) = 1.2501 x + 14.78

1 - 2 x

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

f (7) = 5 - 3 x

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