g(x) = x-2 fog(x) = x²+4x-13 Tentukan f(x) =?
Matematika
Faber11
Pertanyaan
g(x) = x-2
fog(x) = x²+4x-13
Tentukan f(x) =?
fog(x) = x²+4x-13
Tentukan f(x) =?
1 Jawaban
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1. Jawaban Anonyme
g(x) = x - 2
g^-1 (x) = x + 2
(fog)(x) = F(x) = x² + 4x - 13
f(x) = F(g^-1 (x))
f(x) = F(x + 2)
f(x) = (x + 2)² + 4(x + 2) - 13
f(x) = x² + 4x + 4 + 4x + 8 - 13
f(x) = x² + 8x - 1