question_answer 27)

Let A = R - {3} and B = R ? {1}. Consider the function   defined by  Is f one-one and onto? Justify your answer.  

Answer:

Let x1, x2  such that f(x1) = f(x2)                          is one-one              Now, let  then                                              Corresponding to every  there exists  such that       Hence f is onto.