find the inverse of y=square root of x-2

Question

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Answer 1

Ig g(x) is an inverse function to f(x) then the following condition holds

                              f(g(x)) = x which means these two fucntions are symmetric with respect to the bisector y =x.

Let's put f(g) = sqrt(g-2) = x   or  raising both siides of the equation into square we will obtain:

                                             g - 2 = x^2   or  g(x) = x^2 + 2