What is the inverse of f(x)=-3x^2+570x ?

The inverse of f(x)=-3x^2+570x is -(-570+sqrt(324900-12x))/6 ,-(-570-sqrt(324900-12x))/6

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inverse of f(x)=-3x^2+570x

inverse

f (x) = - 3 x^{2} + 570 x

- \frac{- 570 + 324900 - 12 x}{6}, - \frac{- 570 - 324900 - 12 x}{6}

Solution steps

y = - 3 x^{2} + 570 x

Replace

x

with

y

x = - 3 y^{2} + 570 y

Solve for

y, x = - 3 y^{2} + 570 y

- \frac{- 570 + 324900 - 12 x}{6}, - \frac{- 570 - 324900 - 12 x}{6}

What is the inverse of f(x)=-3x^2+570x ?
The inverse of f(x)=-3x^2+570x is -(-570+sqrt(324900-12x))/6 ,-(-570-sqrt(324900-12x))/6