Diketahui f(x) = x – 1 dan g(x) = 2x² – 3. tentukan (gof)(x).
Jawab:
2x² – 4x – 1
Penjelasan dengan langkah-langkah:
Diket: f(x) = x – 1
g(x) = 2x² – 3
Ditanya: (g o f)(x) = ?
Jawab: (g o f)(x) = g(f(x))
= 2(x – 1)² – 3
= 2(x² – 2x + 1) – 3
= 2x² – 4x + 2 – 3
= 2x² – 4x – 1
Semoga membantu, jangan lupa kasih MAHKOTA yaa, makasih loh 🙂
Jawab:
2x^2 – 4x – 1
Penjelasan dengan langkah-langkah:
f(x) = x-1
g(x) = 2x^2 – 3
gof(x) = g(f(x)) = g(x-1)
g(x-1) = 2(x-1)^2 – 3
= 2 (x-1)(x-1) – 3
= 2 (x^2 – x – x + 1) – 3
= 2 (x^2 – 2x + 1) -3
= 2x^2 – 4x + 2 – 3
= 2x^2 – 4x – 1
maaf kalo salah, semoga membantu :))