Matematika

Pertanyaan

Diketahui f(x) = 3x + 1 & g(x) = 2x/3x+6 jika (fog)(a) = 7. Tentukan nilai a!

1 Jawaban

  • (f₀g)(x) = f(gx)
               = f ( 2x/3x +6)
               = 3( 2x/3x +6)+1
               = 6x/9x + 18 + 1
               = 2x/3x + 19

    (f₀g)(a) = 2a/3a + 19 =7
               = 2a/3a = 7-19
               = 2a/3a = - 12

    2a/3a = -12
    2/3 a  = -12
         a   = -12 x 3/2
              = -36/2
              = -18

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