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g(x) = 2/(x + 2)
(f o g)(x) = f(2/(x + 2))
= (2/(x + 2))² + 2/(x + 2)
= 4/(x + 2)² + 2/(x + 2)²
= (4 + 2(x + 2))/(x + 2)²
= (2x + 8)/(x + 2)²
(g o f)(x) = g(x² + x)
= 2/(x² + x + 2)