Return of your homework (pp. 205--): graded #5, 13, 55, 58. Some comments:
Justify your work! I'm still getting the relatively
worthless "yes" or "no" answers, and the value of such answers
will gradually be reduced to 0....
#5: fails the HLT -- hence it's not invertible
#13: passes the HLT, hence is one-to-one and hence
invertible.
#55: solve for x as a function of y.
#58: ditto. But this time there is a risk -- when you
square a result. However, because the domain of x was
restricted to only positive values of x, you know which
sign to choose.