Matematika

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tolong dijawab sekarang!! matematika 3 soal saja terimakasih
tolong dijawab sekarang!! matematika 3 soal saja terimakasih

1 Jawaban

  • Bab Fungsi
    Matematika SMA Kelas XI

    1a] (fog) (x) = x² - 3x + 4
    g (x) + 2 = x² - 3x + 4
    g (x) = x² - 3x + 2

    b] g (x + 1) = (x + 1)² - 3 (x + 1) + 2
    g (x + 1) = x² + 2x + 1 - 3x - 3 + 2
    g (x + 1) = x² - x

    c] (gof) (x) = (x + 2)² - 3(x + 2) + 2
    (gof) (x) = x² + 4x + 4 - 3x - 6 + 2
    (gof) (x) = x² + x

    2a] (gof) (x) = 5x - 15
    y = 5x - 15
    5x = y + 15
    x = 1/5 (y + 15)
    (gof)^-1 (x) = 1/5 (x + 15)

    b] (g^-1 o f^-1) (x) = (fog)^-1 (x)
    (fog) (x) = 5x - 3
    y = 5x - 3
    5x = y + 3
    x = 1/5 (y + 3)
    (fog)^-1 (x) = (g^-1 o f^-1) (x) = 1/5 (x + 3)

    ***pengirim soal tidak perlu nomor 3***