Matematika

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Jawab no 1

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Jawab no 1 Dengan penjelasan

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2 Jawaban

  • f(x) = 1/(x + 1)
    g(x) = 1/(x - 2)

    f(g(x))
    = 1/(1/(x - 2) + 1)
    = (x - 2) / (1 + (x - 2))
    = (x - 2) / (x - 1) ✔

    g(f(x))
    = 1/(1/(x + 1) - 2)
    = (x + 1) / (1 - 2(x + 1))
    = (x + 1) / (-2x - 1) ✔

  • Dik: f(x)= 1/(x+1); g(x)= 1/(x-2)

    f(g(x))= 1 / (1/(x-2) + 1)
    = 1 / (1+x-2/(x-2))
    = x-2 / 1+x-2
    = x-2 / x-1

    g(f(x))= 1 / (1/(x+1) - 2)
    = 1 / ((1-2x-2)/(x+1))
    = x+1 / 1-2x-2
    = x-1 / -2x-1

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