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

The inverse of f(x)=-x^2+6x-2 is 3-sqrt(-x+7),sqrt(-x+7)+3

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

inverse

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

3 - - x + 7, - x + 7 + 3

Solution steps

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

Replace

x

with

y

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

Solve for

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

3 - - x + 7, - x + 7 + 3

2^{x} + 5

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

2

3 x^{4} + 16 x^{3}

x - 2

What is the inverse of f(x)=-x^2+6x-2 ?
The inverse of f(x)=-x^2+6x-2 is 3-sqrt(-x+7),sqrt(-x+7)+3