1) f(x) = - x^2+ 4x + 2, g(x) = x + 2
2) f(y) = y(2 - y), g(y) = -y
3) f(x) = 3^x, g(x) = 2x + 1
The areas of regions are found through integration. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.