Matematika

Pertanyaan

jika f(x)=x-6 dan g(x)=x²-2x-24 tentukan(F o G) (5)

2 Jawaban

  • f(x) = x - 6
    g(x) = x² - 2x - 24

    f o g (x) = f(g(x)) = f(x² - 2x - 24)
    f o g (x) = x² - 2x - 24 - 6
    f o g (x) = x² - 2x - 30

    Maka
    f o g (5) = 5² - 2(5) - 30
    f o g (5) = 25 - 10 - 30
    f o g (5) = -15
  • (f o g)(5) =f(g(5)
    =f(5²-2.5-24)
    =f(-9)
    =-9-6
    = -15


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