diketahui g(x) = 6x-8 fog(x) = 12x-1 Ditanya f(x) ?
Matematika
alyaariana
Pertanyaan
diketahui
g(x) = 6x-8
fog(x) = 12x-1
Ditanya
f(x) ?
g(x) = 6x-8
fog(x) = 12x-1
Ditanya
f(x) ?
1 Jawaban
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1. Jawaban Anonyme
Fungsi Komposisi
g(x) = y = 6x - 8
6x = y + 8
x' = (y + 8)/6
g^-1 (x) = (x + 8)/6
(fog)(x) = F(x) = 12x - 1
f(x) = F(g^-1 (x)
f(x) = F((x + 8)/6)
f(x) = 12(x + 8)/6 - 1
f(x) = 2(x + 8) - 1
f(x) = 2x + 16 - 1
f(x) = 2x + 15