What is the inverse of f(x)=-15x^2+350x-2000 ?

The inverse of f(x)=-15x^2+350x-2000 is -(-350+sqrt(-60x+2500))/(30),-(-350-sqrt(-60x+2500))/(30)

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inverse of f(x)=-15x^2+350x-2000

inverse

f (x) = - 15 x^{2} + 350 x - 2000

- \frac{- 350 + - 60 x + 2500}{30}, - \frac{- 350 - - 60 x + 2500}{30}

Solution steps

y = - 15 x^{2} + 350 x - 2000

Replace

x

with

y

x = - 15 y^{2} + 350 y - 2000

Solve for

y, x = - 15 y^{2} + 350 y - 2000

- \frac{- 350 + - 60 x + 2500}{30}, - \frac{- 350 - - 60 x + 2500}{30}

f (x) = - 5 x + 4 + 3

2 π r^{2} + 12 π r

f (x) = \frac{x + 2}{- 2 x + 1}

f (x) = e^{x^{2} - 2 x}

f (x) = 3 - 4 - x

What is the inverse of f(x)=-15x^2+350x-2000 ?
The inverse of f(x)=-15x^2+350x-2000 is -(-350+sqrt(-60x+2500))/(30),-(-350-sqrt(-60x+2500))/(30)