Matematika

Pertanyaan

jika f(x+2)=x²+2x+1 dan g(x-2) =x²-2x+1 maka (fog) (1)

1 Jawaban

  • f(x + 2) = x² + 2x + 1
    g(x - 2) = x² - 2x + 1

    maka
    g(1)
    = g(3 - 2)
    = 3
    ² - 2(3) + 1
    = 9 - 6 + 1
    = 4

    f(4)
    = f(2 + 2)
    = 2² + 2(2) + 1
    = 4 + 4 + 1
    = 9

    jadi (fog)(1)
    = f(g(1)))
    = f(4)
    = 9 

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