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g(x) = 2x² - 4 + 1 = 2x² - 3
g o f(x)
= g(f(x))
= 2(2x + 3)² - 3
= 2(4x² + 12x + 9) - 3
= 8x² + 24x + 18 - 3
= 8x² + 24x + 15