求函数y=1+sin(-1/2x+π/4)的单调减区间

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求函数y=1+sin(-1/2x+π/4)的单调减区间求函数y=1+sin(-1/2x+π/4)的单调减区间求函数y=1+sin(-1/2x+π/4)的单调减区间解由题可知2kπ+π/2≤-1/2x+

求函数y=1+sin(-1/2x+π/4)的单调减区间
求函数y=1+sin(-1/2x+π/4)的单调减区间

求函数y=1+sin(-1/2x+π/4)的单调减区间
解由题可知
2kπ+π/2≤-1/2x+π/4≤2kπ+3π/2
2kπ+π/4≤-1/2x≤2kπ+5π/4
2kπ-π/2≤x≤2kπ+π/2
函数y=1+sin(-1/2x+π/4)的单调减区间为[2kπ-π/2,2kπ+π/2]