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g(x)=2x+1
f(g(x)) = 1-(2x+1)² = 1 - (4x²+4x+1) = -4x²-4x-1+1 = -4x²-4x
g(f(x)) = 2(1-x²)+1 = 2 -2x²+1 = -2x²+3
g(f(x)) = 2(1-x^)+1 = 2-2x^+1 = -2x^+3