diketahui f(×-2)=×^2 + 3× dan g(×)= 4× +1. Rumus fungsi ( f o g )(×)=

Kelas 10 Matematika
Bab Fungsi Komposisi

f(x - 2) = x² + 3x
f(x + 2 - 2) = (x + 2)² + 3 (x + 2)
f(x) = x² + 4x + 4 + 3x + 6
f(x) = x² + 7x + 10

(fog) (x) = f(4x + 1)
(fog) (x) = (4x + 1)² + 7 (4x + 1) + 10
(fog) (x) = 16x² + 8x + 1 + 28x + 7 + 10
(fog) (x) = 16x² + 36x + 18

f(x - 2) = x² + 3x
f(x - 2) = (x - 2)² + 7(x - 2) + 10
f(x) = x² + 7x + 10

g(x) = 4x + 1

(fog)(x)
= (4x + 1)² + 7(4x + 1) + 10
= 16x² + 36x + 18