What is the inverse of f(x)=24x-3x^2 ?

The inverse of f(x)=24x-3x^2 is -(-24+sqrt(576-12x))/6 ,-(-24-sqrt(576-12x))/6

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inverse of f(x)=24x-3x^2

inverse

f (x) = 24 x - 3 x^{2}

- \frac{- 24 + 576 - 12 x}{6}, - \frac{- 24 - 576 - 12 x}{6}

Solution steps

y = 24 x - 3 x^{2}

Replace

x

with

y

x = 24 y - 3 y^{2}

Solve for

y, x = 24 y - 3 y^{2}

- \frac{- 24 + 576 - 12 x}{6}, - \frac{- 24 - 576 - 12 x}{6}

4^{x} + 2^{x + 1} + 3

f^{- 1}

sin (\frac{1}{2})

e^{z^{- 1}}

y = \frac{2 x - 5}{3 x}

What is the inverse of f(x)=24x-3x^2 ?
The inverse of f(x)=24x-3x^2 is -(-24+sqrt(576-12x))/6 ,-(-24-sqrt(576-12x))/6