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

The inverse of f(x)=-x^2+2x-5 is 1-sqrt(-x-4),sqrt(-x-4)+1

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

inverse

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

1 - - x - 4, - x - 4 + 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

1 - - x - 4, - x - 4 + 1

e^{x} x^{2} + 4 e^{x} x + 2 e^{x}

\frac{1}{x + 3}

x^{3} + 6

e^{\frac{- 1 - 2 x}{x - 2}}

f (x) = \frac{1}{x} + 2

What is the inverse of f(x)=-x^2+2x-5 ?
The inverse of f(x)=-x^2+2x-5 is 1-sqrt(-x-4),sqrt(-x-4)+1