Tentukan fog and gof jika f(×)=×-2 dan g(×)=-3 ×+2

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Tentukan fog and gof jika f(×)=×-2 dan g(×)=-3 ×+2

f(x) = (x – 2)

g(x) = (-3x + 2)

(fog)(x) = f(g(x))

(fog)(x) = f(-3x + 2)

(fog)(x) = (-3x + 2) – 2

(fog)(x) = -3x + 2 – 2

(fog)(x) = -3x + 0

(fog)(x) = -3x

(gof)(x) = g(f(x))

(gof)(x) = g(x – 2)

(gof)(x) = (-3)•(x – 2) + 2

(gof)(x) = -3x + 6 + 2

(gof)(x) = -3x + 8 atau setara dengan (gof)(x) = 8 – 3x