Matematika

Pertanyaan

Diket g(x) = 2x + 3
(gof)(x) = 2x2 + 4x + 5 . tentukan f(x) ?

2 Jawaban

  • g(x) = 2x + 3
    (gof)(x) = 2x² + 4x + 5

    g(f(x)) = 2x² + 4x + 5
    2.f(x) + 3 =
    2x² + 4x + 5
    2.f(x) = 2x² + 4x + 5 - 3
    2.f(x) =
    2x² + 4x + 2
    f(x) = 
    x² + 2x + 1
  • (gof) (x)    = 2x² + 4x +5
       g{f(x)}    = 2x² + 4x +5
    2{f(x)} + 3 = 2x² + 4x +5
             f(x) =( 2x² + 4x +5 -3) / 2
             f(x) =( 2x² + 4x +2) / 2
             f(x) = x² + 2x + 1


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