∵tan(2x+π/3)
∴2x+π/3≠kπ+π/2 (k∈Z)
x≠kπ/2+π/12 (k∈Z)
∵arctanx
∴x∈R
∴y=tan(2x+π/3)+arctanx定义域是{x|x≠kπ/2+π/12 (k∈Z)}