Matematika

Pertanyaan

jika f(x) = x+3,(gof) (x) =2x²-4x-3 maka (fog) (1)

1 Jawaban


  • f(x) = x + 3
    (gof) (x) =2x² - 4x - 3

    g(f(x)) = 2x² - 4x - 3
    g(x + 3) = 2x² - 4x - 3
    g(x) = 2(x - 3)² - 4(x - 3) - 3
    g(x) = 2(x² - 6x + 9) - 4x + 12 - 3
    g(x) = 2x² - 12x + 18 - 4x + 9
    g(x) = 2x² - 16x + 27

    fog(x)
    = f(g(x))
    = 2x² - 16x + 27 + 3
    = 2x² - 16x + 30

    fog(1) = 2(1)² - 16(1) + 30
               = 2 - 16 + 30
               = 16 

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