What is the inverse of y=-x^2+2x+3 ?

The inverse of y=-x^2+2x+3 is 1-sqrt(-x+4),sqrt(-x+4)+1

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inverse of y=-x^2+2x+3

inverse

y = - x^{2} + 2 x + 3

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

Solution steps

y = - x^{2} + 2 x + 3

Replace

x

with

y

x = - y^{2} + 2 y + 3

Solve for

y, x = - y^{2} + 2 y + 3

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

\frac{5 x - 3}{2 + x}

\frac{s + 1}{s ^{2} - 4 s + 13}

y = \frac{2 x}{3 x - 5}

f (x) = 1 - 2^{- x + 1}

f (x) = ln (7 - 4 x)

What is the inverse of y=-x^2+2x+3 ?
The inverse of y=-x^2+2x+3 is 1-sqrt(-x+4),sqrt(-x+4)+1