Matematika

Pertanyaan

Diketahui f(x)=x²-3x-4 dan g(x)=2x+4 tentukan f°g(3)

2 Jawaban

  • (fog)(x)
    = f(g(x)
    = f(2x + 4)
    = (2x + 4)^(2) - 3(2x + 4) - 4
    = 4x^(2) + 16x + 16 - 6x - 12 - 4
    = 4x^(2) + 10x

    (fog)(3)
    = 4(3)^(2) + 10(3)
    = 36 + 30
    = 66
  • f(x) = x² - 3x - 4
    g(x) = 2x + 4

    (fog)(x) = f(g(x))
    (fog)(x) = (2x + 4)² - 3(2x+ 4) - 4
    (fog)(x) = (4x²+16x+16) + (-6x-12) - 4
    (fog)(x) = 4x² + 10x

    (fog) (3) = 4.3² + 10.3
    (fog) (3) = 36 + 30
    (fog) (3) = 66

    Semoga membantu ^-^

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