Matematika

Pertanyaan

jika f(x) = 1/2x dan g(x) = 2/3 x+1 maka (g 0 f) -1 (x) =

1 Jawaban

  • dianggap gini
    f(x) = (1/2)x dan g(x) = (2/3)x + 1
    gof(x) = g(f(x)) = g(x/2) = (2/3)(x/2) + 1 = (2x/6) + 1
    gof(x) = (x + 3)/3
    misal y = (x + 3)/3
    3y = x + 3
    x = 3y - 3
    invers ganti y dengan x
    gof^-1(x) = 3x - 3

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