Matematika

Pertanyaan

Diketahui F(x)=2x+1
(gof)(x)= 2x²+6x+2
Tentukan g(3)...

1 Jawaban

  • f(x) = 2x + 1 dan gof (x) = 2x^2 +6x +2
    g { f(x) } = 2x^2 + 6x +2
    g (2x + 1) = 2x^2 + 6x + 2
    g (2x +1)= 1/2 (2x +1)^2 +4x +3/2
    g (2x + 1) = 1/2(2x +1)^2 +2(2x +1) -1/2
    g (x) = 1/2x^2+2x -1/2
    g(3) = 1/2(3^2) +2.3 -1/2
    = 9/2 +12/2 -1/2
    = 20/2
    = 10

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