What is the inverse of f(x)=5x(4-x) ?

The inverse of f(x)=5x(4-x) is -(-20+sqrt(400-20x))/(10),-(-20-sqrt(400-20x))/(10)

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inverse of f(x)=5x(4-x)

inverse

f (x) = 5 x (4 - x)

- \frac{- 20 + 400 - 20 x}{10}, - \frac{- 20 - 400 - 20 x}{10}

Solution steps

y = 5 x (4 - x)

Replace

x

with

y

x = 5 y (4 - y)

Solve for

y, x = 5 y (4 - y)

- \frac{- 20 + 400 - 20 x}{10}, - \frac{- 20 - 400 - 20 x}{10}

What is the inverse of f(x)=5x(4-x) ?
The inverse of f(x)=5x(4-x) is -(-20+sqrt(400-20x))/(10),-(-20-sqrt(400-20x))/(10)