For each of the following, state the domain and range of the given function. a. f(x) = ?x? b. f(x) = 2x c. f(x) = log2 x d. f(x) = x mod 2 e. f(x) = 2 mod x f. f(x, y) = x mod

Here are three given functions: f(x) := x mod 10, g(x) := x + 3, and h(x) := 2x. What are the following? (That is, rewrite the definition of the given function using a single algebraic expression. For example, the function g ? g is given by the definition (g ? g)(x) = g(g(x)) = x + 6.)

a. f ? f

b. h ? h

c. f ? g

d. g ? h

e. h ? g

f.f ? h g. f ? g ? h