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Jawaban
g (x) = ¹/5x+³/5
Pembahasan
Diketahui :
fog (x) = x+2
f (x) = 5x-1
Ditanya :
g (x) = ….. ???
Jawab :
fog = f (g (x))
fog = x+2
f (g (x)) = x+2
f (x) = 5x-1
5 (g (x))-1 = x+2
g (x)-¹/5 = ¹/5x+²/5
g (x) = ¹/5x+²/5+¹/5
g (x) = ¹/5x+³/5
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Pelajari lebih lanjut
1. Materi tentang Fungsi Komposisi :
2. Materi tentang Fungsi Komposisi :
3. Materi tentang Dasar-dasar Fungsi Rasional :
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Detail Jawaban
Kelas : 10
Mapel : Matematika
Materi : Bab 3 – Fungsi Komposisi
Kode : 10.2.3
Jawab:
Jika diketahui (fog)(x) = x + 2 dan f(x) = 5x – 1
Maka g(x) =
Penjelasan dengan langkah-langkah:
f(x) = 5x – 1
f(g(x)) = 5 g(x) – 1 (Pers. 1)
(fog)(x) = x + 2 (Pers. 2)
karena f(g(x)) = (fog)(x), maka:
5 g(x) – 1 = x + 2
5 g(x) = x + 2 + 1
5 g(x) = x + 3
g(x) = (x + 3) / 5
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