Matematika

Pertanyaan

jika g(x) = x + 3 dan (fog)(x) = x² - 4 maka f(x - 2) =

1 Jawaban

  • (fog)(x) = x² - 4
    f(g(x)) = x² - 4
    f(x + 3) = x² - 4
    f(x) = (x - 3)² - 4
    = x² - 6x + 9 - 4
    = x² - 6x + 5

    f(x - 2) = (x - 2)² - 6(x - 2) + 5
    = x² - 4x + 4 - 6x + 12 + 5
    = x² - 10x + 21

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