What is the inverse of y=-15x^2+350x-2000 ?

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

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inverse of y=-15x^2+350x-2000

inverse

y = - 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) = x^{2} + 6 x + 6

y = ln (x - 6)

0 = 4 x^{2} - 28 x + 16 y - 31

f (x) = - x^{2} + 4 x

y = - x + 1

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