Matematika

Pertanyaan

Diketahui g(x) = x-1 dan (f○g)(x) = 2x^−4x+3. Rumus fungsi f(x+1)

1 Jawaban

  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    (fog) (x) = 2x² - 4x + 3
    f(x - 1) = 2x² - 4x + 3
    f(x + 1 - 1) = 2(x + 1)² - 4(x + 1) + 3
    f(x) = 2(x² + 2x + 1) - 4x - 4 + 3
    f(x) = 2x² + 4x + 2 - 4x - 1
    f(x) = 2x² + 1
    f(x + 1) = 2(x + 1)² + 1
    f(x + 1) = 2(x² + 2x + 1) + 1
    f(x + 1) = 2x² + 4x + 3

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