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Pertanyaan

Jika diketahui f(x)=4x dan f(g(x))=-x/2+1,maka nilai g(x) adalah....

2 Jawaban

  • f(x) = 4x
    f(g(x)) = 4g(x)

    4g(x) =( -x/2 ) + 1
    4g(x) = (-x/2) + (2/2)
    4g(x) = ( -x+2) / 2
    g(x) =( (-x+2)/2) / 4
    g(x) = ( (-x + 2) / 2) × 1/4
    g(x) = ( - x + 2) / 8
    --> g(x) = [tex] \dfrac{1}{8} (-x+2) [/tex]
  • f(x) = 4x
    (f(g(x)) = -x/2 + 1

    fog(x) = -x/2 + 1
    4(g(x)) = -x/2 + 1
    g(x) = 1/4 (-x/2 + 1) = -x/8+ 1/4

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