Matematika

Pertanyaan

diketahui f(x) = x²-2x+3 g(x)x+2 h(x)=x-4 tentukan d.) F o (g o h)) (x)

1 Jawaban

  • f(x) = x^2 - 2x + 3
    g(x) = x + 2
    h(x) = x - 4

    [f○(g○h)](x)
    = [f○(g(h))(x)](x)
    = [f○(g(x - 4))](x)
    = [f○(x - 4 + 2)](x)
    = [f○(x - 2)](x)
    = (x - 2)^2 - 2(x - 2) + 3
    = x^2 - 4x + 4 - 2x + 4 + 3
    = x^2 - 6x + 11

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