Matematika

Pertanyaan

dik
f(x)=x^2+4x-5
g(x)=2x-1

tentukan (fog)(x), (fog)(2), (gof)(x), (gof)(2)

1 Jawaban

  • Fog (x) = (2x - 1 )^2 + 4(2x -1) - 5
    = 2x^2 - 4x + 1 + 8x - 4 - 5
    = 2x^2 + 4x - 8
    Fog (2) = 2(2)^2 + 4(2) - 8
    = 8 + 8 - 8
    = 8
    Gof (x) = 2 ( x^2 +4x - 5 ) -1
    = 2x^2 + 8x - 11
    Gof (2) = 2(2)^2 + 2(8) - 11
    = 8 + 16 - 11
    = 13.

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