61. Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. - a. The range of f(x) = 2x 38 is all real numbers. +1 b. The relation y = x + 1 is not a function because y = 2 for both x = -1 and x = 1. c. If f(x) = x, then f(1/x) = 1/f(x). d. In general, f(f(x)) = (f(x)). e. In general, f(g(x)) = g(f(x)). f. By definition, f(g(x)) = (fog)(x). g. If f(x) is an even function, then cf(ax) is an even function, where a and c are nonzero real numbers. h. If f(x) is an odd function, then f(x) + d is an odd function, where d is a nonzero real number. i. If f is both even and odd, then f(x) = 0 for all .x. 62-68. Working with diff