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

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

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inverse of y=2x(6-x)

inverse

y = 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}

8 (\frac{x + 3}{4}) + 5

x - 2 + 6

x - 2 - 5

f (x) = ln (\frac{x}{20})

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