Matematika

Pertanyaan

Diketahui h (x) = f 0 g (x), jika h (x) = 2x² + 4x - 5 dan g (x) = x + 2, maka f (x) =

1 Jawaban

  • h(x) = f 0 g(x)
    h(x) = 2x² + 4x - 5
    g(x) = x + 2

    (fog)(x) = 
    2x² + 4x - 5
    f(g(x)) = 2x² + 4x - 5
    f(x + 2) = 2x² + 4x - 5
    f(x) = 2(x - 2)² + 4(x - 2) - 5

    = 2(x² - 4x + 4) + 4x - 4 - 5
    = 2x² - 8x + 8 + 4x - 9
    = 2x² - 4x - 1

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