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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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