Matematika

Pertanyaan

f(x)=x+2
g(x)=3x-4

a).(fog)(x)=
b).(fog)(-2)=
c).(gof)(x)=
d).(gof)(2)=

1 Jawaban

  • >> FunGsi
    f(x) = x + 2
    g(x) = 3x - 4

    a). (fog)(x) ?
    (fog)(x) -> x pada fungsi f(x) diganti menjadi g(x) -> f(g(x)) -> f(3x - 4) Artinya :
    (fog)(x) = (3x - 4) + 2
    (fog)(x) = 3x - 2

    b). (fog)(-2) ?
    (fog)(-2) -> masukkan nilai x = -2 ke persamaan a).
    (fog)(-2) = 3(-2) - 2
    (fog)(-2) = - 6 - 2
    (fog)(-2) = - 8

    c). (gof)(x) ?
    x di persamaan fungsi g(x) di ganti menjadi f(x) -> g(f(x)) -> g(x + 2). Artinya :
    (gof)(x) = 3(x + 2) - 4
    (gof)(x) = 3x + 6 - 4
    (gof)(x) = 3x + 2

    d). gof(2) ?
    Masukkan nilai x = 2 ke persamaan c).
    (gof)(2) = 3(2) + 2
    (gof)(2) = 6 + 2
    (gof)(2) = 8

    Semoga membantu

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