Matematika

Pertanyaan

diketahui
g(x) = 6x-8
fog(x) = 12x-1
Ditanya
f(x) ?

1 Jawaban

  • Fungsi Komposisi

    g(x) = y = 6x - 8
    6x = y + 8
    x' = (y + 8)/6

    g^-1 (x) = (x + 8)/6

    (fog)(x) = F(x) = 12x - 1

    f(x) = F(g^-1 (x)
    f(x) = F((x + 8)/6)
    f(x) = 12(x + 8)/6 - 1
    f(x) = 2(x + 8) - 1
    f(x) = 2x + 16 - 1
    f(x) = 2x + 15

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