Soal terlampir tolong di bantu
Jawaban:
6
Penjelasan dengan langkah-langkah:
gof(1) = g(f(1))
- = 1(2x – 3) + 2x + 1
- = 2x – 3 + 2x + 1
- = 2x + 2x + 3 – 1
- = 4x + 2
- = 4(1) + 2
- = 4 + 2
- = 6
#MaafKalauSalah
Jawaban :
(g o f)(2) = 4
Pembahasan :
Diketahui :
F(x) = 2x – 3
G(x) = x² + 2x + 1
————————————————-
(g o f)(x) = g(f(x))
= g (2x – 3)
= (2x – 3)² + 2(2x – 3) + 1
= (2x – 3) (2x – 3) + 4x – 6 + 1
= 4x² – 6x – 6x + 9 + 4x – 6 + 1
= 4x² – 12x + 9 + 4x – 6 + 1
= 4x² – 8x + 9 – 6 + 1
(g o f)(x) = 4x² – 8x + 4
————————————————————–
(g o f)(2) = 4(2)² – 8(2) + 4
= 16 – 16 + 4
(g o f)(2) = 4