What is the inverse of f(x)=-2x^2+5x-6 ?

The inverse of f(x)=-2x^2+5x-6 is -(-5+sqrt(-8x-23))/4 ,-(-5-sqrt(-8x-23))/4

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inverse of f(x)=-2x^2+5x-6

inverse

- \frac{- 5 + - 8 x - 23}{4}, - \frac{- 5 - - 8 x - 23}{4}

Solution steps

y = - 2 x^{2} + 5 x - 6

Replace

x

with

y

x = - 2 y^{2} + 5 y - 6

Solve for

y, x = - 2 y^{2} + 5 y - 6

- \frac{- 5 + - 8 x - 23}{4}, - \frac{- 5 - - 8 x - 23}{4}

What is the inverse of f(x)=-2x^2+5x-6 ?
The inverse of f(x)=-2x^2+5x-6 is -(-5+sqrt(-8x-23))/4 ,-(-5-sqrt(-8x-23))/4