F(×) = 2x-1 dan g(×) = 3X²-3x+2
Matematika
hanumkinasih
Pertanyaan
F(×) = 2x-1 dan g(×) = 3X²-3x+2
2 Jawaban
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1. Jawaban Hajime1
itu materi komposisi fungsi kah?
FoG (x) = g (f(x))
= g (2x-1)
= 3 (2x-1)² - 3(2x-1) + 2
= 3 (2x-1) (2x-1) - 6x + 3 + 2
= 3 (4x²-2x-2x+1) - 6x + 3 + 2
= 3 (4x²+4x+1) - 6x + 5
= 12x² + 12x + 3 - 6x + 5
G(x) = 12x² + 6x + 8
semoga membantu... -
2. Jawaban 4LL
langsung aja y
(fog)(x) = f{g(x)}
= 2g(x) - 1
= 2(3x² - 3x + 2) - 1
= 6x² - 6x + 4 - 1
= 6x² - 6x + 3
(gof)(x) = g{f(x)}
= 3f(x)² - 3f(x) + 2
= 3(2x-1)² - 3(2x-1) + 2
= 3(4x²-4x+1) - 3(2x-1) + 2
= 12x² - 12x + 3 - 6x + 3 + 2
= 12x² - 18x + 8
semoga berguna +_+