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