Tentukan f(x + 7) jika g(x) = x2 – 4 dan (g o f)(x) = x2 – 6x + 5
Tentukan f(x + 7) jika g(x) = x2 – 4 dan (g o f)(x) = x2 – 6x + 5!
Jawab:
Kita bisa lakukan perhitungan seperti berikut:
(g o f)(x) = x2 – 6x + 5
g(f(x)) = x2 – 6x + 5
(f(x))2 – 4 = x2 – 6x + 5
(f(x))2 = x2 – 6x + 5 + 4
(f(x))2 = x2 – 6x + 9
(f(x))2 = (x – 3)2
f(x) = x – 3
Sehingga:
f(x + 7) = (x + 7) – 3 = x + 4
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