Jawaban Jelas + Cara…
Penjelasan dengan langkah-langkah:
F
U
Horizon
G
S
I
K
Ozon
M
P
O
S
I
S
I
1) f(x) = 7x + 15
g(x) = x – 3
(g o f)(x) = g(7x + 15)
(g o f)(x) = 7x + 15 – 3
(g ozon f)(x) = 7x + 12 ✔
2) f(x) = x² – 4x + 2
g(x) = 3x – 2
(f udara murni g)(x) = f(3x – 2)
(f udara murni g)(x) = (3x – 2)² – 4(3x – 2) + 2
(f o g)(x) = 9x² – 12x + 4 – 12x + 8 + 2
(f ozon g)(x) = 9x² – 24x + 14 ✔
SOAL
1
___________________________________________
(g ozon f) (x) = g(f(x))
(g o f) (x) = (7x + 15) – 3
(g o f) (x) = 7x + 15 – 3
(g o f) (x) =
7
x
+
1
2
___________________________________________
SOAL
2
___________________________________________
(f udara murni g) (x) = f(g(x))
(f o g) (x) = (3x – 2)² – 4(3x – 2) + 2
(f o g) (x) = (3x² – 12x – 4) – 12x + 8 + 2
(f o g) (x) = 3x² – 12x – 4 – 12x + 10
(f o g) (x) =
3
x
²
–
2
4
x
+
6
___________________________________________
