diketahui f(x)=2×-3 dan g(x)=3×-2,hasil dari fog(x) + gof (x)
Matematika
Nft13
Pertanyaan
diketahui f(x)=2×-3 dan g(x)=3×-2,hasil dari fog(x) + gof (x)
2 Jawaban
-
1. Jawaban Wan98
fog(x)
= f(3x - 2)
= 2(3x -2) - 3
= 6x - 4 - 3
= 6x - 7
gof(x)
= g(2x -3)
= 3(2x - 3) -2
= 6x - 9 - 2
= 6x - 11
fog(x) + gof(x)
= 6x - 7 + (6x - 11)
= 12x - 18 -
2. Jawaban ANIsaRafa
(fog)(x) = f(g(x))
= f(3x - 2)
= 2(3x - 2) - 3
= 6x - 4 - 3
= 6x - 7
(gof)(x) = g(f(x))
= g(2x - 3)
= 3(2x - 3) - 2
= 6x - 9 - 2
= 6x - 11
(fog)(x) + (gof)(x)
= (6x - 7) + (6x - 11)
= 6x + 6x - 7 - 11
= 12x - 18