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(f-g)(x)=x²-2x+2
f(x) - g(x) = x²-2x+2
(x²-4x+5) - g(x) = x²-2x+2
g(x) = (x²-4x+5) - (x²-2x+2) = x²-4x+5-x²+2x-2 = -2x+3