Matematika

Pertanyaan

diketahui f(x) = x + 2 dan g(x) = 3x - 1 , fungsi (gof)-¹(x) adalah

1 Jawaban

  • f(x) = x+2
    g(x) = 3x-1

    (gof)(x) = g[f(x)]
    (gof)(x) = g(x+2)
    (gof)(x) = 3(x+2)-1
    (gof)(x) = 3x+6-1
    (gof)(x) = 3x+5

    (gof)(x) = 3x+5
    y = 3x+5
    3x = y-5
    x = (y-5)/3
    (gof)^-1(x) = (x-5)/3

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