What is the inverse of f(x)=-x^2+7x-6 ?

The inverse of f(x)=-x^2+7x-6 is -(-7+sqrt(-4x+25))/2 ,-(-7-sqrt(-4x+25))/2

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inverse of f(x)=-x^2+7x-6

inverse

f (x) = - x^{2} + 7 x - 6

- \frac{- 7 + - 4 x + 25}{2}, - \frac{- 7 - - 4 x + 25}{2}

Solution steps

y = - x^{2} + 7 x - 6

Replace

x

with

y

x = - y^{2} + 7 y - 6

Solve for

y, x = - y^{2} + 7 y - 6

- \frac{- 7 + - 4 x + 25}{2}, - \frac{- 7 - - 4 x + 25}{2}

What is the inverse of f(x)=-x^2+7x-6 ?
The inverse of f(x)=-x^2+7x-6 is -(-7+sqrt(-4x+25))/2 ,-(-7-sqrt(-4x+25))/2