f(×)=3×-4 dan g(×)=2×+a .jika gof=fog.tentukan nilai a?

Bab Fungsi
Matematika SMA Kelas XI

(gof) (x) = (fog) (x)

g(3x - 4) = f (2x + a)
2 (3x - 4) + a = 3(2x + a) - 4
6x - 8 + a = 6x + 3a - 4
3a - a = -8 + 4
a = -4/2
a = -2

g○f=f○g
g(f(x))=f(g(x))
g(3x-4)=f(2x+a)
2(3x-4)+a=3(2x+a)-4
6x-8+a=6x+3a-4
6x-6x+a-3a=-4+8
-2a=4
a=-2