Diketahui:
f(x) = x-2
g(x) = 3x-1
Ditanyakan:
a. (fog)(x)
b. (gof)(x)
c. (gof)(-2)
Jawab:
= f(g(x))
= (g(x)) - 2
= 3x-1-2
= 3x-3
= (g(f(x))
= 3(f(x))-1
= 3(x-2)-1
= 3x-6-1
= 3x-7
= 3(-2)-7
= -6-7
= -13
_________________________________________
DETAIL JAWABAN
Mapel: Matematika
Kelas: 10
Materi: Bab 3 - Fungsi
Kata kunci: Fungsi Komposisi
Kode Soal: 2
Kode kategorisasi: 10.2.3
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Verified answer
Diketahui:
f(x) = x-2
g(x) = 3x-1
Ditanyakan:
a. (fog)(x)
b. (gof)(x)
c. (gof)(-2)
Jawab:
a. (fog)(x)
= f(g(x))
= (g(x)) - 2
= 3x-1-2
= 3x-3
b. (gof)(x)
= (g(f(x))
= 3(f(x))-1
= 3(x-2)-1
= 3x-6-1
= 3x-7
c. (gof)(-2)
= 3(-2)-7
= -6-7
= -13
_________________________________________
DETAIL JAWABAN
Mapel: Matematika
Kelas: 10
Materi: Bab 3 - Fungsi
Kata kunci: Fungsi Komposisi
Kode Soal: 2
Kode kategorisasi: 10.2.3