Dik: f(x)=X Pangkat 2-4x+2 g(x)=3x-7 Tentukan: A.( g°f)(5) B. (f°g)(10)

Diketahui f(x) = x² - 4x + 2 dan g(x) = 3x - 7
Carilah (g°f)(x) dan (f°g)(x) terlebih dahulu.
(g°f)(x) = g(x² - 4x + 2)
=> (g°f)(x) = 3(x² - 4x + 2) - 7
=> (g°f)(x) = 3x² - 12x - 1
(f°g)(x) = f(3x - 7)
=> (f°g)(x) = (3x - 7)² - 4(3x - 7) + 2
=> (f°g)(x) = 9x² - 54x + 79
Substitusi nilai x, maka:
a.) (g°f)(5) = 3(5)² - 12(5) - 1
=> (g°f)(5) = 14
b.) (f°g)(10) = 9(10²) - 54(10) + 79
=> (f°g)(10) = 439

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