Matematika

Pertanyaan

jika f ( x ) = x - 1 dan ( gof ) ( x ) = 4x pangkat 2 + 4x tentukan g ( x )

2 Jawaban

  • f(x) = x - 1, gof (x) = 4x^2 + 4x
    g (x - 1 ) = 4x^2 +4 x
    g (x - 1) = 4 ( x - 1)^2 + 12x - 4
    g ( x - 1) = 4 (x - 1)^2 + 12(x - 1) + 8
    g (x) = 4x^2 +12x + 8
  • gOf(x) = g(f(x)
    4x² + 4x = g(x - 1)
    4(x - 1)² + 4(x - 1) + 1 = g(x - 1 + 1)
    4(x² -2x +1) + 4x -4 +1 = g(x)
    4x² -8x +4 +4x -4 +1 = g(x)
    4x² -4x +1 = g(x)

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