Matematika

Pertanyaan

jika fungsi (f o g) (x) = 38 - 15x dan g(x) =8-3x maka fungsi f(x) adalah?

1 Jawaban

  • g(x) = 8 - 3x
    y = 8 - 3x
    x = (8 - y)/3

    g^-1 (x) = (8 - x)/3

    (fog)(x) = F(x) = 38 - 15x

    f(x) = F(g^-1 (x))
    f(x) = F((8 - x)/3)
    f(x) = 38 - 15 . (8 - x)/3
    f(x) = 38 - 5(8 - x)
    f(x) = 38 - 40 + 5x
    f(x) = 5x - 2

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