Diketahui f(×)=×2dan g(×)=×-1 jika (fog)(a)=(gof)(a) maka nilai a

Materi : Fungsi Komposisi
Kelas  : XI SMA 
Mapel : Matematika

f(x) = x²
g(x) = x – 1 

f o g(x) = (x – 1)²
f o g(x) = x² – 2x + 1 
f o g(a) = a² – 2a + 1 

g o f(x) = x² – 1
g o f(a) = a² – 1

Misal : 
f o g(a) = g o f(a)
a² – 2a + 1 = a² – 1
-2a = -1 – 1
-2a = -2
a = 1 

#matematika_Mudah
#Semangat !