Matematika

Pertanyaan

dik f(×)=3-2× dan g(×)=7×+4 Tentukan (fog)-1(×]

1 Jawaban

  • Mapel : Matematika

    Kelas : 10

    Bab : Fungsi Invers
    =====================

    (f o g) (x) = f(7x + 4)

    (f o g) (x) = 3 - 2(7x + 4)

    (f o g) (x) = 3 - 14x - 8

    (f o g) (x) = -11 - 14x


    Misalkan :

    -11 - 14x = y

    -14x = y + 11

    x = (y + 11)/-14


    Maka, fungsi inversnya :

    (f o g) -¹(x) = (x + 11)/-14 ✔

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