Matematika

Pertanyaan

jika f^-1 (x)=x-1/5 dan g^-1=3-x/2 , maka tentukan (fog)^-1 (6)

1 Jawaban

  • f^-1 (x) = (x - 1)/5
    g^-1 (x) = (3 - x)/2

    (fog)^-1 (x)
    = (g^-1 o f^-1)(x)
    = (3 - (x - 1)/5)/2
    = (15 - x + 1)/(5 × 2)
    = (16 - x)/10 ✔

    (fog)^-1 (6)
    = (16 - 6)/10
    = 1 ✔

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