Let f (x) be a parabola, and when the point (x, y) is on the parabola image, the point (x, y ^ 2 + 1) is on the image of the function g (x) = f (f (x)), the analytic expression of G (x) is obtained Given (x-1) f ((x + 1) / (x-1)) + F (x) = x, where x ≠ 1, find the analytic expression of the function

Let f (x) be a parabola, and when the point (x, y) is on the parabola image, the point (x, y ^ 2 + 1) is on the image of the function g (x) = f (f (x)), the analytic expression of G (x) is obtained Given (x-1) f ((x + 1) / (x-1)) + F (x) = x, where x ≠ 1, find the analytic expression of the function

1. G (x) = f (f (x)) = f (y) = y ^ 2 + 1, so f (x) = x ^ 2 + 1
G(X)=F(F(X))=(X^2+1)^2+1=X^4+2X^2+2
2、

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