Matematika

Pertanyaan

Jika f(x)=3^2x-1 maka fungsi inversnya

1 Jawaban

  • Kelas 10 Matematika
    Bab Fungsi Komposisi

    ^ = pangkat

    f(x) = 3^(2x - 1)
    y = 3^(2x - 1)
    log y = log 3^(2x - 1)
    log y = (2x - 1) . log 3
    2x - 1 = (log y)/(log 3)
    2x = (³log y) + 1
    x = (³log y + ³log 3)/2
    x = (1/2) . (³log 3y)
    f⁻¹ (x) = (1/2) . (³log 3x)

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