Matematika

Pertanyaan

Diket=(f o g)(x)= x3+5x^-6x. Tentukan f(x) jika g(x)=x+2

1 Jawaban

  • g(x) = x + 2
    g^-1 (x) = x - 2

    (fog)(x) = F(x) = x³ + 5x² - 6x

    f(x)
    = F(g^-1 (x))
    = F(x - 2)
    = (x - 2)³ + 5(x - 2)² - 6(x - 2)
    = x³ - 6x² + 12x - 8 + 5x² - 20x + 20 - 6x + 12
    = x³ - x² - 14x + 24

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