Matematika

Pertanyaan

Diketahui f(3x-3) = 13-6x. Nilai dari f(-1) adalah

2 Jawaban

  • f(3x-3) = 13-6x
    f(3x-3) = 7+6-6x
    f(3x-3) = 7-6x+6
    f(3x-3) = 7-2(3x-3)
    ==> f(x) = 7-2x
    Jadi, f(-1)= 7-2(-1) = 7+2 = 9
  • Misalkan
    3x - 3 = a
    x = (a + 3)/3

    f(3x - 3) = 13 - 6x
    f(a) = 13 - 6((a + 3)/3)
    f(a) = 13 - 2(a + 3)
    f(a) = 13 - 2a - 6
    f(a) = 7 - 2a
    f(x) = 7 - 2x

    f(-1) = 7 - 2(-1)
    f(-1) = 7 + 2
    f(-1) = 9

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