Matematika

Pertanyaan

jika f(x) = 2x - 4 dan g(x) = x² - 3x - 5. tentukan (fog) (3)

2 Jawaban

  • f(g(x)) = f ( x^2 -3x-5) = 2(x^2-3x-5)-4 = 2x^2 -6x -10 -4 = 2x^2 -6x-14

    (fog)(3) = 2(3)^2 - 6(3) -14 = 2(9) - 18 - 14 = 18 -18-14 = -14
  • f(x) = 2x - 4
    g(x) = x² - 3x - 5

    (fog) (x) = f(g(x))
    (fog) (x) = 2(x² - 3x - 5) - 4
    (fog) (x) = 2x² - 6x - 10 - 4
    (fog) (x) = 2x² - 6x -14

    (fog) (3) = 2(3²) - 6(3) - 14
    (fog) (3) = 2(9) - 18 - 14
    (fog) (3) = 18-18-14
    (fog) (3) = -14

    maaf kalau salah...
    semoga membantu...

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