Question

Considere a função bijetora f: R->R dada por f(x)= 3-5x/2, calcule f*-1(3/2)

Answer 1

$f(x) = \frac{3-5x}{2} = y$

Troca x por y e isola y
$\frac{3-5y}{2} = x$

$y = f^{-1} (x) = \frac{-(2x-3)}{5} = \frac{-2x+3}{5} f^{-1}( \frac{3}{2} ) = \frac{ \frac{-2*3}{2}+3 }{5 } = 0$