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

The inverse of f(x)=-x^2+x+2 is -(-1+sqrt(-4x+9))/2 ,-(-1-sqrt(-4x+9))/2

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

inverse

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

- \frac{- 1 + - 4 x + 9}{2}, - \frac{- 1 - - 4 x + 9}{2}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{- 1 + - 4 x + 9}{2}, - \frac{- 1 - - 4 x + 9}{2}

What is the inverse of f(x)=-x^2+x+2 ?
The inverse of f(x)=-x^2+x+2 is -(-1+sqrt(-4x+9))/2 ,-(-1-sqrt(-4x+9))/2