Matematika

Pertanyaan

fx = 3x + 10
gx = 5x
hx = 6x²-4

tentukan
a. (fog) (x)
b. (gof)(x)
c. (hof) (x)

1 Jawaban

  • Bab Fungsi Komposisi
    Matematika SMA Kelas X

    a] (fog) (x)
    = f(g(x))
    = f(5x)
    = 3 (5x) + 10
    = 15x + 10

    b] (gof) (x)
    = g(3x + 10)
    = 5 (3x + 10)
    = 15x + 50

    c] (hof) (x)
    = h (3x + 10)
    = 6 (3x + 10)² - 4
    = 6 (9x² + 60x + 100) - 4
    = 54x² + 360x + 600 - 4
    = 54x² + 360x + 596

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