Matematika

Pertanyaan

Diketahui f(x) =5x+2 dan (fog) (x) =32-20x maka g¯¹(x)=

1 Jawaban

  • (fog)(x) = 32 - 20x
    f(g(x)) = 32 - 20x
    5(g(x)) + 2 = 32 - 20x
    5(g(x)) = 32 - 20x - 2
    5(g(x)) = 30 - 20x
    g(x) = (30 - 20x)/5
    g(x) = 6 - 4x

    g(x) = 6 - 4x
    y = 6 - 4x
    4x = 6 - y
    x = (6 - y)/4
    g⁻¹(x) = (6 - x)/4

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