Diketahui g(x) = 5x + 3 dan ( f ₀ g) (x) = 10x + 9. Tentukan :a:f(x)b:f(2)
Jawaban:
a. 2x+3
b. 7
Penjelasan dengan langkah-langkah:
a. f(x)
fog(x) = 10x+9
f(g(x)) = 10x+9
f(5x+3) = 10x+9
5x+3 = p
5x = p-3
x = p-3/5
f(p) = 10p+9
f(p) = 10(p-3/5)+9
f(p) = 2(p-3)+9
f(p) = 2p-6+9
f(p) = 2p+3
f(x) = 2x+3
b. f(2)
= 2x+3
= 2(2)+3
= 4+3
= 7
Jawab:
Penjelasan dengan langkah-langkah:
g(x) = 5x + 3 dan (f o g)(x) = 10x + 9
a. (f o g)(x) = 10x + 9
f (g(x)) = 10x + 9
f (5x + 3) = 10 x + 9
misal : 5x + 3 = y
5x = y – 3
x = (y – 3)/5
sehingga :
f(y) = 10 . (y – 3)/5 + 9
f(y) = 2 . (y – 3) + 9
f(y) = 2y – 6 + 9
f(y) = 2y + 3
f(x) = 2x + 3
b. f(x) = 2x + 3
f(2) = 2 . 2 + 3 = 4 + 3 = 7
semoga membantu 😉