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

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

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

inverse

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

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

Solution steps

y = - x^{2} + 2 x

Replace

x

with

y

x = - y^{2} + 2 y

Solve for

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

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

5 - t^{2}

f (x) = \frac{x ^{2} - 5 x - 6}{3 x ^{2} - 18 x}

3 x + 5

\frac{( \frac{x}{x + 3} )}{( \frac{x}{x + 3} ) + 3}

3 - x - x^{2} - 4

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