Dik g(x) = -x + 3 dan (f o g) (x) = 4x^ - 26x + 32. Tentukan f(x) = ...
Matematika
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Pertanyaan
Dik g(x) = -x + 3 dan (f o g) (x) = 4x^ - 26x + 32. Tentukan f(x) = ...
1 Jawaban
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1. Jawaban SadonoSukirno
fog(x) = 4x² - 26x + 32
f(-x + 3) = 4x² - 26x + 32
misalkan p = -x + 3
x = 3 - p
f(p) = 4(3 - p)² - 26(3 - p) + 32
f(p) = 4(9 - 6p + p²) - 78 + 26p + 32
f(p) = 36 - 24p + 4p² - 46 + 26p
f(p) = 4p² + 2p - 10
f(x) = 4x² + 2x - 10