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Pertanyaan

Maka nilai (g invers o f)(1) adalah...

Jawaban yg benar (B), siapapun yg tau caranya tolong jawab ya
Maka nilai (g invers o f)(1) adalah... Jawaban yg benar (B), siapapun yg tau caranya tolong jawab ya

1 Jawaban

  • f(x - 1) = x + 2
    Misal (x - 1) = a => x = a + 1
    f(a) = (a + 1) + 2
    f(a) = a + 3
    f(1) = 1 + 3 = 4

    g(x) = (2 - x)/(x + 3) = (-x + 2)/(x + 3)
    g^-1(x) = (-3x + 2)/(x + 1)
    RUMUS : f(x) = (ax + b)/(cx + d) => f^-1(x) = (-dx + b)/(cx - a)

    (g^-1 o f)(1) = g^-1(f(1)) = g^-1(4) = (-3.4 + 2)/(4 + 1) = (-12 + 2)/5 = -2