Matematika

Pertanyaan

g(x)=x^2+1 dan (fog)(x)=x^4-2 maka f(x)

1 Jawaban

  • g(x) = x² + 1
    (fog)(x) = x⁴ - 2

    f(x)

    fog
    f(g(x)) = x⁴ - 2
    f(x² + 1) = x⁴ - 2
    misal a = x² + 1
    a - 1 = x²

    f(a) = (x²)² - 2
    = (a - 1)² - 2
    = a² -2a + 1 - 2
    = a² -2a - 1
    f(x) = x² -2x -1 -----> c.

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