Matematika

Pertanyaan

diketahui f(x) = 3x - 15 , g(x) = 2x + 6 , dan h(x) = x + 6. tentukan :

a. rumus fungsi ( g bundaran f bundaran h ) (x)

b. nilai p jika (h bundaran f bundaran g) (p) = -3

1 Jawaban

  • g o f o h(x)
    g o f (x + 6)
    g (3 (x + 6)-15)
    g (3x + 18 - 15)
    g (3x + 3)
    2 (3x + 3) + 6
    6x + 6 + 6
    6x +12

    h o f o g(p) = -3
    h o f (2p + 6) = -3
    h (3 (2p + 6) - 15) = -3
    h (6p + 18 - 15) = -3
    h (6p + 3) = -3
    6p + 3 + 6 = -3
    6p + 9 = -3
    6p = -3 - 9
    6p = -12
    p = -2

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