Matematika

Pertanyaan

diketahui f(×+1)= ×kuadrat + 1 dan g(×)= 2×+4, nilai dari (g o f)(2)=

2 Jawaban

  • y = x+1
    Invers y = x-1

    f(x+1) = x²+1
    fx = (x-1)²+1
    = x²-2x+2

    gof (x) = g (fx)
    = 2(fx)+4
    = 2(x²-2x+2)+4
    = 2x²-4x+8
    gof(2) = 2.2²-4.2+8
    = 8
  • f(x+1) = x^2 + 1
    f(x+1) = (x+1)^2 -2(x+1) + 2
    f(x) = x^2 - 2x + 2

    (gof) (x)
    = g(f(x))
    = g (x^2 -2x + 2)
    = 2(x^2 -2x + 2) + 4
    = (2x^2 - 4x + 4) + 4
    = 2x^2 - 4x + 8

    Semoga membantu :)

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