Matematika

Pertanyaan

jika diketahui f(x)=5x+3 dan g(x)=x²-3.tentukan (fog)(x)dan (gof)(x)

2 Jawaban

  • (FoG) (x) = 5(x^2-3) + 3
    =5x^2 - 15 + 3
    =5x^2 - 12

    (GoF) (x) = (5x+3)^2 -3
    =25x^2 + 30x + 9 -3
    =25x^2 + 30x + 6

  • [tex](fog)(x) \\ = 5(x { }^{2} - 3) + 3 \\ = 5x { }^{2} - 15 + 3 \\ = 5x {}^{2} - 12 [/tex]
    [tex](gof)(x) \\ = (5x + 3) {}^{2} - 3 \\ = 25x {}^{2} + 30x + 9 - 3 \\ = 25x {}^{2} + 30x + 6[/tex]
    semoga membantu;)

    jadikan jawaban terbaik yaa;)

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