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

The inverse of f(x)=-2x^2+24x is -(-24+sqrt(576-8x))/4 ,-(-24-sqrt(576-8x))/4

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

inverse

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

- \frac{- 24 + 576 - 8 x}{4}, - \frac{- 24 - 576 - 8 x}{4}

Solution steps

y = - 2 x^{2} + 24 x

Replace

x

with

y

x = - 2 y^{2} + 24 y

Solve for

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

- \frac{- 24 + 576 - 8 x}{4}, - \frac{- 24 - 576 - 8 x}{4}

What is the inverse of f(x)=-2x^2+24x ?
The inverse of f(x)=-2x^2+24x is -(-24+sqrt(576-8x))/4 ,-(-24-sqrt(576-8x))/4