Matematika

Pertanyaan

jika g(x) = 2x -5 dan (f ° g) (x) = 6x - 13 maka f(3)

1 Jawaban

  • g(x) = 2x - 5
    (fog)(x) = f(g(x)) = 6x - 13

    f(2x - 5) = 6x - 13
    misal :
    2x - 5 = a
    x = (a + 5) / 2

    f(a) = [6(a +5)/2] - 13
    f(a) = 3(a+5) - 13
    f(a) = 3a + 15 - 13
    f(x) = 3x + 2

    f(3) = 3.3 + 2 = 11

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