Matematika

Pertanyaan

tolong bantuannya~
sekaligus cara kerjanya
tolong bantuannya~ sekaligus cara kerjanya

1 Jawaban

  • f(x) = ax + b
    f(f(x)) = a f(x) + b
    4x + 12 = a(ax + b) + b
    4x + 12 = a^2 x + ab + b
    4x + 12 = a^2 x + (ab + b)
    Koefisien x
    a^2 = 4 => a = ± 2 => a = 2 atau a = -2

    Konstanta
    ab + b = 12
    a = 2 => 2b + b = 12 => 3b = 12 => b = 4 (memenuhi karena a < b)
    a = -2 => -2b + b = 12 => -b = 12 => b = -12 (tidak memenuhi krn a > b)

    Jadi a = 2 dan b = 4
    f(x) = ax + b = 2x + 4
    f(-1) = 2(-1) + 4 = 2