Matematika

Pertanyaan

1). Tentukan Rumus fungsi komposisi (g°f) (x) dan (f°g) (x) dari :

F (×) = 3x + 2
g (x) = 2 -x

Tentukan (f°g) (x)


2). F (x) = 2x -1
g (x) = X2 + 2

Tentukan : (g°f) (x)
(f°g) (x)

1 Jawaban

  • 1. (f o g) (x) = f (g(x)) = f (2 - x) = 3 (2 - x) + 2 = 6 - 3x + 2 = -3x + 8
    (g o f) (x) = g (f(x)) = g (3x + 2) = 2 - (3x + 2) = 2 - 3x - 2 = -3x

    2. (g o f) (x) = g (f(x)) = g (2x - 1) = (2x - 1)^2 + 2 = 4x^2 - 4x + 1 + 2 = 4x^2 - 4x + 3
    (f o g) (x) = f (g(x)) = f (x^2 + 2) = 2 (x^2 + 2) - 1 = 2x^2 + 4 - 1 = 2x^2 + 3

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