Matematika

Pertanyaan

f^(-1) (x)=(x-1)/5 dan g^(-1) (x)=(3-x)/2,maka (F°G)

1 Jawaban

  • jawab

    f⁻¹ (x) = (x -1) /5
    x - 1 = 5y
    x = 5y  + 1
    f(x) = 5x + 1

    g⁻¹(x) = (3-x)/2
    2y = 3 - x
    x = 3 - 2y
    g(x) = 3 - 2x

    fog(x) =  f{ g(x)}
    = f(3-2x)
    = 5 (3 -2x)  +1
    = 15 - 10x + 1
    = 16 - 10 x

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