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Verified answer
F(x) = x² - 2x + 4y = x² - 2x + 4
x² - 2x = y - 4
(x² - 2x + 1) = y - 4 + 1
(x - 1)² = y - 3
x - 1 = ± √y - 3
x = 1 ± √y - 3
f-¹(x) = 1 ± √x - 3