Matematika

Pertanyaan

Jika f(x)=x-4 maka f(x) + (f(x))² - 3f(x)=

2 Jawaban

  • f(x) = x +4.
    f(x) + { f(x) }^2 -3f(x)
    = (x -4) + (x -4)^2 - 3(x -4)
    = x - 4 + x^2 -8x +16 -3x +12
    = x^2 -10x + 24
  • f(x) = x - 4

    Maka:
    f(x) + (f(x))² - 3f(x)
    = (x - 4) + 
    (x - 4)² - 3(x - 4)
    = (x - 4) + (x - 4)(x - 4) - (3x - 12)
    = x - 4 + x² - 4x - 4x + 16 - 3x + 12
    = x² - 10x + 24

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