What is the inverse of 3x(4-x) ?

The inverse of 3x(4-x) is -(-12+sqrt(144-12x))/6 ,-(-12-sqrt(144-12x))/6

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inverse of 3x(4-x)

inverse

3 x (4 - x)

- \frac{- 12 + 144 - 12 x}{6}, - \frac{- 12 - 144 - 12 x}{6}

Solution steps

y = 3 x (4 - x)

Replace

x

with

y

x = 3 y (4 - y)

Solve for

y, x = 3 y (4 - y)

- \frac{- 12 + 144 - 12 x}{6}, - \frac{- 12 - 144 - 12 x}{6}

\frac{2 x}{3 x - 4}

f (x) = 2 cos (3 x - \frac{π}{3}) + 2

g (x) = x - 9 + 1

y = 2 x + 2

f (x) = lo g_{2} (4 x - 4)

What is the inverse of 3x(4-x) ?
The inverse of 3x(4-x) is -(-12+sqrt(144-12x))/6 ,-(-12-sqrt(144-12x))/6