Matematika

Pertanyaan

dik (fog) (x) =9x²-6x+12 dan f(x)=3x-3. tentukan g(2)

1 Jawaban

  • (fog) (x) =9x²-6x+12
     f(x)=3x-3

    f(g(x)) = 
    9x² - 6x + 12
    3(g(x)) - 3 = 9x² - 6x + 12
    3g(x) = 9x² - 6x + 12 + 3
    3g(x) = 9x² - 6x + 15
    g(x) = 9x²/3 - 6x/3 + 15/3
    g(x) = 3x² - 2x + 5

    g(2)
    = 3(2)² - 2(2) + 5
    = 12 - 4 + 5
    = 13

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