Matematika

Pertanyaan

jika f(x) = 2x+5 dan g(x) = x-3/ x+4 . maka nilai (fog) -¹(1) yaitu? di jawab yaaa beserta dengan cara kerjanya. plisss

1 Jawaban

  • (fog)(x) = 2(x - 3)/(x + 4) + 5

    (fog)^-1 (2(x - 3)/(x + 4) + 5) = x

    (fog)^-1 (1) = x

    2(x - 3)/(x + 4) + 5 = 1
    2(x - 3)/(x + 4) = 1 - 5
    (x - 3)/(x + 4) = -4/2
    x - 3 = -2(x + 4)
    x - 3 = -2x - 8
    x + 2x = 3 - 8
    3x = -5
    x = -5/3

    (fog)^-1 (1) = x = -5/3

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