Consider the following functions: f(x) = x 2 9 /x 3 g(x) = x 2 36

(a) Determine the domains of both f(x) and g(x). State your answers in interval notation.

(b) By hand, determine the symmetry (if any) of both f(x) and g(x).

(c) Define f and g as functions in Maple. Plot both functions on the same axes for x [15, 15]. (Hint: Use the option discont = true, color = [red, blue] while plotting.).

(d) Based on the graph, determine if: i f(x) appears even, odd, or neither. ii g(x) appears even, odd, or neither. (Write down your answers for both (i) and (ii).)