Problem #6:
With A = \{x, y, z\} and B = \{a, b, c\}, let $f, g: A \to B$ given by:
$f = \{(x, b), (y, c), (z, a)\}$, $g = \{(x, b), (y, a), (z, c)\}$
a) Are these functions invertible? Explain why.
b) Determine each of the following: $f^{-1}$, $g^{-1}$, $f \circ g^{-1}$, $g \circ f^{-1}$, $(f \circ g^{-1})^{-1}$.
