Matematika

Pertanyaan

Diketahui:F(X)=2x-5
G(X)=X+2/2
Dit:a.(FoG)(X)=
b.(GoF)(X)=

2 Jawaban

  • FoG= (2X-5) + 2/2 = 2X+5+1 = 2X+6
    GoF= 2(X+2/2) - 5 = 2(X+1) - 5 = 2X+2-5 = 2X-3
  • F (x) = 2x - 5
    G (x) = (x + 2) / 2

    Fog (x) = f (g (x))
    = f ((x + 2) / 2)
    = 2 ((x + 2) / 2) - 5
    = x + 2 - 5
    = x - 3

    Gof (x) = g (f (x))
    = g (2x - 5)
    = (2x - 5 + 2) / 2
    = (2x - 3) / 2
    = x - 3/2

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