Matematika

Pertanyaan

rumus f(x)=ax+b f(-3)=-7 f(5)=17. tentukan nilai f(3a-2)

1 Jawaban

  • f(x) = ax + b
    f(-3) = -3a+b => -3a+b = -7 (i)
    f(5) = 5a+b => 5a+b = 17 (ii)

    eliminasi (i) dan (ii)
    -3a+b = -7
    5a+b = 17
    _________-
    -8a = -24
    a = 3

    subtitusi nilai a ke (i)
    -3(3) + b = -7
    b = 2

    maka nilai dari
    f(3a-2) = f(3(3)-2) = f(7)
    f(7) = (3)(7)+2 = 21 + 2 = 23



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