What is the inverse of f(x)=5x(6-x) ?

The inverse of f(x)=5x(6-x) is -(-30+sqrt(900-20x))/(10),-(-30-sqrt(900-20x))/(10)

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inverse of f(x)=5x(6-x)

inverse

f (x) = 5 x (6 - x)

- \frac{- 30 + 900 - 20 x}{10}, - \frac{- 30 - 900 - 20 x}{10}

Solution steps

y = 5 x (6 - x)

Replace

x

with

y

x = 5 y (6 - y)

Solve for

y, x = 5 y (6 - y)

- \frac{- 30 + 900 - 20 x}{10}, - \frac{- 30 - 900 - 20 x}{10}

What is the inverse of f(x)=5x(6-x) ?
The inverse of f(x)=5x(6-x) is -(-30+sqrt(900-20x))/(10),-(-30-sqrt(900-20x))/(10)