Explain why or why not Determine whether the following statements are true and give an explanation or counterexample.
a. The range of f(x) = 2x − 38 is all real numbers.
b. The relation f(x) = x6 + 1 is not a function because f(1)= f(−1) = 2.
c. If f(x) = x−1, then f(1 /x) = 1/f(x).
d. In general, f(f(x))=(f(x))2
e. In general, f(g(x)) = g(f(x))
f. In general,
g. If f(x) is an even function, then cf(ax) is an even function, where a and c are real numbers.
h. If f(x) is an odd function, then f(x) + d is an odd function, where d is a real number.
i. If f is both even and odd, then f(x) = 0 for all x.
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