y=arcsinX的定义域为[-1,1].此题,y=arcsin√[(X-1)/(X+1)]的定义域为-1≤√[(X-1)/(X+1)]≤1,则0≤(X-1)/(X+1)≤1,解得:X≥1即y=arcsin√[(X-1)/(X+1)]的定义域为[1,+∞)