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u = 3 x + 1; luego F(u) = 6 u - 4; reemplazamos:
F(3 x + 1) = 6 (3 x + 1) - 4 = 18 x + 2 = y; despejamos x;
x = (y - 2)/18; intercambiamos símbolos:
f^(-1)(x) = (x - 2)/18; hacemos v = 2 x + 4
f^(-1)(v) = 2 v + 4
f^(-1)(2 x + 4) = (2 x + 4 - 2)/18 = (x - 1)/9
Saludos Herminio