What is the inverse of f(x)=-(x-1)^2+3 ?

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

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inverse of f(x)=-(x-1)^2+3

inverse

f (x) = - (x - 1)^{2} + 3

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

Solution steps

y = - (x - 1)^{2} + 3

Replace

x

with

y

x = - (y - 1)^{2} + 3

Solve for

y, x = - (y - 1)^{2} + 3

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

f (x) = x - 12 + 5

f (x) = 6 x - \frac{2}{7}

f (x) = \frac{4}{- n + 2}

f (x) = - \frac{4}{- x - 3}

560 + 1.2 n

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