Matematika

Pertanyaan

Jika diketahui f (×-2) = ×2+3×-4,maka f(×) adalah

2 Jawaban

  • X-2 > 2

    2 | 1. 3. -4
    . | __2__10_____
    1. 5. | 6 > sisa.
    Maka jawabannya : X + 5
  • f(x-2) = x^2 + 3x - 4

    => f(x) = x^2
    =>f(x-2) = (x-2)^2 = x^2 - 4x + 4
    [x^2 + 3x - 4] - [x^2 - 4x + 4] = 7x - 8

    => f(x) = 7x
    => f(x-2) = 7×(x-2) = 7x - 14
    [7x - 8] - [7x - 14] = 6

    =>f(x) = 6

    Jadi f(x) = x^2 + 7x + 6

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