Matematika

Pertanyaan

jika f(x)=3xpangkat2-2x+1 dan g(x)=x+3 maka (fog) (x) =...

2 Jawaban

  • jawab

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

    fog(x) = f {x+3)
    = 3(x + 3)² - 2(x+3) + 1
    = 3(x² +6x + 9)  - 2x - 6 + 1
    = 3x² +18x + 27 - 2x - 6 + 1
    = 3x² + 16x + 22
  • = (fog)(x)
    = 3(x + 3)² - 2(x + 3) + 1
    = 3(x² + 6x + 9) - 2x - 6 + 1
    = 3x² + 18x + 27 - 2x - 6 + 1
    = 3x² + 16x + 22

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