Tentukan (fog)(X) dan (gof)(1), jika f(X)=X²-4, g(X)=X-3

Mapel : Matematika

Bab : Fungsi Komposisi
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a] (f o g) (x)

(f o g) (x) = f(x - 3)

(f o g) (x) = (x - 3)² - 4

(f o g) (x) = x² - 6x + 5


b] (g o f) (1)

(g o f) (x) = g(x² - 4)

(g o f) (x) =x² - 7

(g o f) (1) = 1 - 7

(g o f) (1) = - 6

(fog)(x) = f(g(x))
= f(x-3)
= (x-3)² - 4
= x² -6x + 9 - 4
= x²-6x+5

(gof)(1) = g(f(1))
= g (1-4)
= g(-3)
= -3 -3
-6