Matematika

Pertanyaan

diketahui f (x) = 2x pangkat 2 -3x +1 dan g (x)=x pangkat 2+x-2
tentukan.
a. (f-g) (x)
b. (f/g) (x)

2 Jawaban

  • Bab Fungsi
    Matematika SMA Kelas XI

    a] (f - g) (x) = (2x² - 3x + 1) - (x² + x - 2) = x² - 4x + 3

    b] (f / g) (x)
    = (2x² - 3x + 1) / (x² + x - 2)
    = ((2x - 1) (x - 1)) / ((x + 2) (x - 1))
    = (2x - 1) / (x + 2)

  • f(x) = 2x^2 - 3x +1
    g(x) = x^2 + x - 2

    a. (f-g) (x)
    = f(x) - g(x)
    = 2x^2 - 3x + 1 - x^2 + x - 2
    = x^2 - 2x - 1.

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

    Semoga membantu;)

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