What is the inverse of f(x)=-15x^2+350x-200 ?

The inverse of f(x)=-15x^2+350x-200 is -(-350+sqrt(-60x+110500))/(30),-(-350-sqrt(-60x+110500))/(30)

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inverse of f(x)=-15x^2+350x-200

inverse

f (x) = - 15 x^{2} + 350 x - 200

- \frac{- 350 + - 60 x + 110500}{30}, - \frac{- 350 - - 60 x + 110500}{30}

Solution steps

y = - 15 x^{2} + 350 x - 200

Replace

x

with

y

x = - 15 y^{2} + 350 y - 200

Solve for

y, x = - 15 y^{2} + 350 y - 200

- \frac{- 350 + - 60 x + 110500}{30}, - \frac{- 350 - - 60 x + 110500}{30}

f (x) = x - 4 - 2

f (x) = x - 4 + 8

f (x) = 900 (2.5 - \frac{x}{60})^{2}

f (x) = \frac{1}{2} arccos (π x) - 3

\frac{1}{5} x - 1

What is the inverse of f(x)=-15x^2+350x-200 ?
The inverse of f(x)=-15x^2+350x-200 is -(-350+sqrt(-60x+110500))/(30),-(-350-sqrt(-60x+110500))/(30)