What is the inverse of f(x)=-x^2+11x-30 ?

The inverse of f(x)=-x^2+11x-30 is -(-11+sqrt(-4x+1))/2 ,-(-11-sqrt(-4x+1))/2

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inverse of f(x)=-x^2+11x-30

inverse

f (x) = - x^{2} + 11 x - 30

- \frac{- 11 + - 4 x + 1}{2}, - \frac{- 11 - - 4 x + 1}{2}

Solution steps

y = - x^{2} + 11 x - 30

Replace

x

with

y

x = - y^{2} + 11 y - 30

Solve for

y, x = - y^{2} + 11 y - 30

- \frac{- 11 + - 4 x + 1}{2}, - \frac{- 11 - - 4 x + 1}{2}

What is the inverse of f(x)=-x^2+11x-30 ?
The inverse of f(x)=-x^2+11x-30 is -(-11+sqrt(-4x+1))/2 ,-(-11-sqrt(-4x+1))/2