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

The inverse of f(x)=-x^2+6x-5 is 3-sqrt(-x+4),sqrt(-x+4)+3

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

inverse

f (x) = - x^{2} + 6 x - 5

3 - - x + 4, - x + 4 + 3

Solution steps

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

Replace

x

with

y

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

Solve for

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

3 - - x + 4, - x + 4 + 3

f (x) = \frac{2 x - 3}{x - 4}

y = 2 x^{3}

g (x) = - x

9^{x}

f (x) = 2^{3^{x}}

What is the inverse of f(x)=-x^2+6x-5 ?
The inverse of f(x)=-x^2+6x-5 is 3-sqrt(-x+4),sqrt(-x+4)+3