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**tigergirl** Let A= {a,b,c} and B= {1,2,3};*$\displaystyle f : A \rightarrow B $ and $\displaystyle g: A \rightarrow B $ be a function defined by*

*$\displaystyle f $*

*$\displaystyle a \rightarrow 3 $*

*$\displaystyle b \rightarrow 1 $*

*$\displaystyle c \rightarrow 2 $*

*$\displaystyle g $*

*$\displaystyle a \rightarrow 1 $*

*$\displaystyle b \rightarrow 3 $*

*$\displaystyle c \rightarrow 1 $*

*a) Find the function $\displaystyle F: B \rightarrow A $ such that $\displaystyle F \circ f = 1_A $. What is $\displaystyle f \circ F $?*

*b) Find a function H: $\displaystyle A \rightarrow A $ such that $\displaystyle f \circ H = g$.*

*for (a) am I suppose to find out which one it mapps to cause if so I dont undertstand and I have a list of problems like this.*