函数y=根号2sin(x+π/4)+1的定义域为什么?

.[2kπ-5π/12,2kπ+11π/12]k∈z B,kπ+11π/12]k∈z C[2kπ-11π/12.[kπ-5π/12,2kπ+5π/12]k∈z D[kπ-11π/

4)>3+2kπ<=x+π/=-1ǘsin(x+π/4)+1>=0
sin(x+π/2
-π/4<=7/

2sin(x+π/4）+1≥0 sin(x+π/4)≥-1/2 2kπ-π/6≤x+π/4≤2kπ+7π/6 2kπ-5π/12≤x≤2kπ+11π/12 [2kπ-5π/12,2kπ+11π/12]，k∈z