Matematika

Pertanyaan

G(x) = x + 1 / x- 1
( g o f) ( x) = x + 2 / x
F(2) = ?

1 Jawaban

  • g(x) = x + 1 / x - 1.
    g o f (x) = x + 2 / x
    g { f (x) } = x + 2 / x
    f (x) + 1 / f (x) - 1 = x + 2 / x
    { f(x) + 1 } x = { f(x) - 1 } (x +2)
    x.f(x) + x = x.f(x) - x + 2f(x) -2
    x = -x + 2f(x) -2
    2f(x) = 2x + 2
    f(x) = (2x + 2)/2
    f(x) = x + 1

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