Tentukan f(x) jika: f(x + 3) = 2x2 - 4x + 5
Tentukan f(x) jika:
f(x + 3) = 2x2 - 4x + 5
Jawab:
f(x + 3) = 2x2 - 4x + 5
p = x + 3 → x = p – 3
f(p) = 2(p – 3)2 – 4(p – 3) + 5
= 2(p2 – 6p + 9) – 4p + 12 + 5
= 2p2 – 12p + 18 – 4p + 12 + 5
f(p) = 2p2 – 16p + 35
f(x) = 2x2 – 16x + 35
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