This problem was proposed to me recently and the absolute values are throwing me off.

Given the functions f(x) = |-2x-4| and g(x) = |x+3|, considering appropriate domain restrictions, state the defining equations for the three regions of the function (f+g)(x).

Obviously the solution will be a piecewise function, but I'm having trouble getting the equations for the three regions of the function(f+g)(x). Absolute signs can be tricky!