What is the inverse of f(x)=-x^2+6x-8 ?

The inverse of f(x)=-x^2+6x-8 is 3-sqrt(-x+1),sqrt(-x+1)+3

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inverse of f(x)=-x^2+6x-8

inverse

f (x) = - x^{2} + 6 x - 8

3 - - x + 1, - x + 1 + 3

Solution steps

y = - x^{2} + 6 x - 8

Replace

x

with

y

x = - y^{2} + 6 y - 8

Solve for

y, x = - y^{2} + 6 y - 8

3 - - x + 1, - x + 1 + 3

(x + 1)^{2} - 3

y = 2 x^{3} + 1

f (x) = \frac{x + 1}{1 - x}

3 + 4 + 9 x

g (x) = 4 x

What is the inverse of f(x)=-x^2+6x-8 ?
The inverse of f(x)=-x^2+6x-8 is 3-sqrt(-x+1),sqrt(-x+1)+3