F(x)=x2 G(x)=3x+1 Maka f(g(2))

Kelas 10 Matematika
Bab Fungsi Komposisi

f(g(2)) = ?

g(x) = 3x + 1
g(2) = 3 . 2 + 1
g(2) = 6 + 1
g(2) = 7

f(x) = x²
f(7) = 7²
f(7) = 49

Maka, f(g(2)) = 49

f(x) = x²
g(x) = 3x + 1

✔Tentukan nilai (f o g) (x)

(f o g) (x) = f(g(x)) = f(3x + 1)
(f o g) (x) = (3x + 1)²
(f o g) (x) = 9x² + 6x + 1

Sehingga, f(g(2)) adalah :
= 9x² + 6x + 1
= 9(2)² + 6(2) + 1
= 36 + 12 + 1
= 49 ✔