Tentukan f(x - 1) jika g(x) = x + 2 dan (f o g)(x) = x2 - 2x + 5
Tentukan nilai dari f(x - 1) jika g(x) = x + 2 dan (f o g)(x) = x2 - 2x + 5!
Jawab:
g(x) = x + 2
(f o g)(x) = x2 – 2x + 5
f(g(x)) = x2 – 2x + 5
f(x + 2) = x2 – 2x + 5
p = x + 2 → x = p – 2
f(p) = (p – 2)2 – 2(p – 2) + 5
f(x – 1) = (x – 1 – 2)2 – 2(x – 1 – 2) + 5
= (x – 3)2 – 2(x – 3) + 5
= x2 – 6x + 9 – 2x + 6 + 5
f(x – 1) = x2 – 8x + 20
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