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Popular Functions >

inverse of f(x)=3x(2-x)

Solution

inverse

f (x) = 3 x (2 - x)

Solution

- \frac{- 6 + 36 - 12 x}{6}, - \frac{- 6 - 36 - 12 x}{6}

Solution steps

y = 3 x (2 - x)

Replace

x

with

y

x = 3 y (2 - y)

Solve for

y, x = 3 y (2 - y)

- \frac{- 6 + 36 - 12 x}{6}, - \frac{- 6 - 36 - 12 x}{6}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=3x(2-x) ?
The inverse of f(x)=3x(2-x) is -(-6+sqrt(36-12x))/6 ,-(-6-sqrt(36-12x))/6