Matematika

Pertanyaan

diketahui f(x)= 2x+1 , g(x)= (x+1)/x , berapa invers (fog)(x) nya ???? sama caranya kak.

2 Jawaban

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

    (fog)(x) = 2(x + 1)/x + 1
    (fog)(x) = (2x + 2 + x)/x
    (fog)(x) = (3x + 2)/x


    f(x) = (ax + b)/(cx + d)
    f^-1 (x) = (-dx + b)/(cx - a)

    •••
    (fog)^-1 (x) = 2/(x - 3)
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