Question

Mostre que a função f (x) = x +2 / 2x −1 coincide com sua inverso, ou seja,f (f(x)) = x

Answer 1

$f(x) = \frac{x+2}{2x-1}\\\\f(x) = x\\\\\frac{x}{1}  = \frac{x+2}{2x-1} \\\\2x^{2} - 1x = x + 2\\\\2x^{2} - 2x - 2 = 0$