Diketahui f(x) = X²-2X+1 dan g(x) = 2X-1 Tentukan : a). (fog) (x) b). (fog) (4)
Matematika
chand10011
Pertanyaan
Diketahui f(x) = X²-2X+1 dan g(x) = 2X-1 Tentukan : a). (fog) (x) b). (fog) (4)
1 Jawaban
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1. Jawaban Ashiela
f(x) = x² - 2x + 1
g(x) = 2x - 1
(f•g)(x)
= f(g(x))
= f(2x - 1)
= (2x - 1)² - 2(2x-1) + 1
= 4x² - 4x + 1 - 4x + 2 + 1
= 4x² - 8x + 4
(f•g)(4)
= 4(4²) - 8(4) + 4
= 4(16) - 32 + 4
= 64 - 32 + 4
= 36