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

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

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

inverse

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

1 - - x + 3, - x + 3 + 1

Solution steps

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

Replace

x

with

y

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

Solve for

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

1 - - x + 3, - x + 3 + 1

\frac{2 x + 3}{7 x - 8}

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

f (x) = - lo g_{10} (x + 3) - 4

f (x) = \frac{5}{x + 7}

f (x) = 5 sin (x) - 6

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