Diketahui f(x-2)=x^2+3x dan g (x)=4x+1. Rumus fungsi f (g (x))=...

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

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