1. ## functions[SOLVED]

i $f$ is a bijection function from X-->X
prove
f inverse(f(x)) = x

2. If $f : A \rightarrow B$ is an injective function, then the inverse is defined by

$f^{-1}(y)=x \iff f(x)=y$ for all $y \in B.$

Since bijective implies injective, the result follows immediately.