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

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

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inverse of y=3x(6-x)

inverse

y = 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}

- 2 x - 1 + 1

f (x) = 5 (x - 5)^{7}

f (x) = \frac{4 x - 5}{2 x + 3}

f (x) = \frac{( 5 x - 1 )}{3}

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