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Verified answer
F(x)= 2x - 3g(x) = x² + 2x + 2
(gof) (x)
= g(f(x))
= g(2x - 3)
= (2x - 3)² + 2(2x - 3) + 2
= 4x² - 12x + 9 + 4x - 6 + 2
= 4x² + 8x + 5