Matematika

Pertanyaan

diketahui f(x) = 2x dan g(x) = 3x - 2 maka nilai (gof)–¹ (x) adalah

2 Jawaban

  • f(x) = 2x
    g(x) = 3x - 2

    gof (x)
    = 3(2x) - 2
    = 6x - 2

    y = 6x - 2
    6x = y + 2
    x = (y + 2)/6

    (gof)^-1 (x) = (x + 2)/6 ✓
  • g(x) = 3x -2)
    (gof)(x) = g(f(x))
    g(f(x)) = 3.f(x) - 2 = 3(2x) -2 = 6x -2
    (gof)(x) = 6x - 2

    y = 6x -2
    y + 2 = 6x
    x = (y+2)/6
    y' = (x'+2)/6
    (gof)-1(x) = x/6 + 1/3

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