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g (x) = 2x / (x-3)
fog (x) = 3(2x / (x-3))² - 2
= 3(4x² / (x² - 6x +9)) - 2
= (12x² / x² - 6x + 9) - 2
fog (2) = (12(2)² / ((2)² - 6(2) + 9)) - 2
= (12.4 / (4 - 12 + 9)) - 2
= (48) - 2
= 46