(SOAL KOMPOSISI FUNGSI) Jika f (x) = 4x + 3 dan (g o f) (x) = 2x + 1 maka g (x) = ....
Matematika
Meutiajovi
Pertanyaan
(SOAL KOMPOSISI FUNGSI) Jika f (x) = 4x + 3 dan (g o f) (x) = 2x + 1 maka g (x) = ....
2 Jawaban
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1. Jawaban dativ
(g o f)(x) = G(f(x))
F(x)= 4x + 3
G(f(x)) = 2x + 1
G(x) = 2(4x + 3) + 1
G(x) = 8x + 6 +1
G(x) = 8x + 7
Maaf kalau salah -
2. Jawaban arsetpopeye
(g o f)(x) = 2x + 1
g(f(x)) = 2x + 1
g(4x + 3) = 2x + 1
Misal 4x + 3 = a => 4x = a - 3 => x = (a - 3)/4
g(4x + 3) = 2x + 1
g(a) = 2(a - 3)/4 + 1
g(a) = (a - 3)/2 + 2/2
g(a) = (a - 1)/2
g(x) = (x - 1)/2
g(x) = 1/2 (x - 1)
g(x) = 1/2 x - 1/2