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g(x) = x + 1
f(x) = .............?
Penyelesaian :
g(x) = x + 1
g⁻¹(x) = x - 1
(f o g)(x) = f (g(x)
2x² - x + 3 = f (x + 1)
f(x) = 2(x - 1)² - (x - 1) + 3
= 2(x² - 2x + 1) - x + 1 + 3
= 2x² - 4x + 2 - x + 4
= 2x² - 5x + 6
Jadi, rumus f(x) = 2x² - 5x + 6 (Jawaban B)