dik F(x)=2x pangkat2 + 4x +3, g(x)=3x + 2 (f o g).Tentukan (f o g) dan (g o f)

Kelas : XI
Bab : Fungsi dan Komposisi
Mapel : Matematika

(f o g)(x) = f[g(x)]
(f o g)(x) = f(3x+2)
(f o g)(x) = 2(3x+2)²+4(3x+2)+3
(f o g)(x) = 2(9x²+12x+4)+12x+8+3
(f o g)(x) = 18x²+24x+8+12x+8+3
(f o g)(x) = 18x²+36x+19

(g o f)(x) = g[f(x)]
(g o f)(x) = g[2x²+4x+3]
(g o f)(x) = 3(2x²+4x+3)+2
(g o f)(x) = 6x²+12x+9+2
(g o f)(x) = 6x²+12x+11

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