Matematika

Pertanyaan

Diketahui f(×)=2×+1 dan g(×)=5×-4 tentukan n. a.(f°g)(×) dan (g°f)(x) . b.(f°g)(5) dan (g°f)(5)

2 Jawaban

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  • f(x) = 2x + 1
    g(x) = 5x - 4

    A).
    fog(x) = f(g(x)
    fog(x) = f(5x - 4)
    fog(x) = 2(5x - 4) + 1
    fog(x) = 10x - 8 + 1
    fog(x) = 10x - 7

    gof(x) = g(f(x)
    gof(x) = g(2x + 1)
    gof(x) = 5(2x + 1) - 4
    gof(x) = 10x + 5 - 4
    gof(x) = 10x + 1

    B).
    fog(x) = 10x - 7
    fog(5) = 10(5) - 7
    fog(5) = 50 - 7
    fog(5) = 43

    gof(x) = 10x + 1
    gof(5) = 10(5) + 1
    gof(5) = 50 + 1
    gof(5) = 51

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