Matematika

Pertanyaan

Diketahui f(x) = x²-x+3 fan g(x) = 2x+1, maka f[g(x)] =

2 Jawaban

  • => f(g(x))
    => f(2x + 1)
    => (2x + 1)² - (2x + 1) + 3
    => 4x² + 4x + 1 - 2x - 1 + 3
    => 4x² + 4x - 2x + 1 - 1 + 3
    => 4x² + 2x + 3
  • f(x) = x^2 - x + 3 g(x) = 2x+1
    f(g(x)) = ?

    f(2x+1) = (2x+1)^2 - (2x+1) + 3
    = 4x^2 + 2(2x)(1) - 2x - 1 + 3
    = 4x^2 + 4x - 2x + 2
    = 4x^2 + 2x + 2. : 2
    = 2x^2 + x + 1

    Semoga membantuu;)

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