Suppose (G,* ) is a group, where G is the set, and * is the binary operation. Consider the function \(f: G \to G \) described by f(x) = a.x for a fixed a in G. Which of the following is true?
1
The function f is onto but not one-to-one.
2
The function f is one-to-one but not onto.
3
The function f is both onto and one-to-one.
4
Neither one-to-one nor onto.
5
Question Not Attempted