A Group of Linear Functions
Problem 6
Define the functions $f_{a,b}(x)=ax+b$, where $a, b \in \R$ and $a>0$.
Show that $G:=\{ f_{a,b} \mid a, b \in \R, a>0\}$ is a group . The group operation is function composition.
Add to solve laterDefine the functions $f_{a,b}(x)=ax+b$, where $a, b \in \R$ and $a>0$.
Show that $G:=\{ f_{a,b} \mid a, b \in \R, a>0\}$ is a group . The group operation is function composition.
Add to solve later