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

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

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inverse of f(x)=2x(6-x)

inverse

f (x) = 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}

f (x) = - 2 lo g_{10} (2) (x - 1) + 2

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

f (x) = - 5 x - 8

f (x) = 4 x (6 - x)

f (x) = \frac{2 x + 4}{3}

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