Matematika

Pertanyaan

Tentukan nilai dari g(-2) jika f(x)=2x-3 dan (fog) (x) =(x-2)(3x+1)

1 Jawaban

  • f(x) = 2x - 3

    f(g(x)) = (x - 2)(3x + 1)
    2(g(x)) - 3 = (x - 2)(3x + 1)
    g(x) = (3 + (x - 2)(3x + 1))/2

    g(-2) = (3 - (-2 - 2)(3(-2) + 1))/2
    g(-2) = (3 - (-4)(-5))/2
    g(-2) = (3 - 20)/2
    g(-2) = -17/2
    g(-2) = -8,5 ✔

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