Matematika

Pertanyaan

Jika f(2x+1)=(x-12)(x+13), maka nilai dari f(31) adalah?

2 Jawaban

  • 2x + 1 = 31
    2x = 30 - 1
    2x= 30
    x = 15

    f(31) = (15 -12)(15 + 13)
    = 3 x 28
    = 84
  • y = 2x+1
    2x = y-1
    x = y-1 / 2
    x~ = x-1 / 2


    f( 2x +1) = (x-12)(x+13)
    f(x) = (x~- 12)(x~ +13)
    = (x-1 /2 - 12)(x~ + 13)
    f(31) = (31-1 /2 - 12)(31-1 /2 + 13)
    = (30/2 - 12)(30/2 + 13)
    = (15-12)(15+13)
    = (3)(28)
    = 84

    atau
    2x+1 = 31
    2x = 30
    x = 15

    f(31) = (15-12)(15+13)
    = (3)(28)
    = 84

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