Matematika

Pertanyaan

diketahui f(x)=2×-3 dan g(x)=3×-2,hasil dari fog(x) + gof (x)

2 Jawaban

  • fog(x)
    = f(3x - 2)
    = 2(3x -2) - 3
    = 6x - 4 - 3
    = 6x - 7

    gof(x)
    = g(2x -3)
    = 3(2x - 3) -2
    = 6x - 9 - 2
    = 6x - 11

    fog(x) + gof(x)
    = 6x - 7 + (6x - 11)
    = 12x - 18
  • (fog)(x) = f(g(x))
    = f(3x - 2)
    = 2(3x - 2) - 3
    = 6x - 4 - 3
    = 6x - 7

    (gof)(x) = g(f(x))
    = g(2x - 3)
    = 3(2x - 3) - 2
    = 6x - 9 - 2
    = 6x - 11

    (fog)(x) + (gof)(x)
    = (6x - 7) + (6x - 11)
    = 6x + 6x - 7 - 11
    = 12x - 18

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