What is the inverse of f(x)=3x(6-x) ?

The inverse of f(x)=3x(6-x) is -(-18+sqrt(324-12x))/6 ,-(-18-sqrt(324-12x))/6

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inverse of f(x)=3x(6-x)

inverse

f (x) = 3 x (6 - x)

- \frac{- 18 + 324 - 12 x}{6}, - \frac{- 18 - 324 - 12 x}{6}

Solution steps

y = 3 x (6 - x)

Replace

x

with

y

x = 3 y (6 - y)

Solve for

y, x = 3 y (6 - y)

- \frac{- 18 + 324 - 12 x}{6}, - \frac{- 18 - 324 - 12 x}{6}

h (x) = \frac{x ^{3} + 8}{7}

\frac{e ^{y} - e ^{- y}}{2}

4 x + 4

f (x) = \frac{2}{x + 7}

What is the inverse of f(x)=3x(6-x) ?
The inverse of f(x)=3x(6-x) is -(-18+sqrt(324-12x))/6 ,-(-18-sqrt(324-12x))/6