Matematika

Pertanyaan

Jika (f°g) (×) = x^2-2×-2 dan f(×) = ×-3
Makan nilai g (2) = ...

2 Jawaban

  • komposisi fungsi dan fungsi invers

    f(x) = x - 3
    fog(x) = x² - 2x - 2

    f{ g(x) } = x² - 2x - 2
    g(x) - 3 = x² - 2x - 2
    g(x) = x² - 2x - 2 + 3
    g(2) = (2)² - 2(2) -2 + 3
    g(2) = 4 - 4 - 2 + 3
    g(2) = 1
  • f o g = f(gx)
    x^2 - 2x - 2 = g(x) -3
    x^2 - 2x +1 = gx
    2^2 - 2(2) + 1 = g(2)
    4 - 4 + 1 = g(2)
    g (2) = 1

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