∵f(x)=8+2x-x2∴g(x)=f(2-x2)=-x4+2x2+8g'(x)=-4x3+4x当g'(x)>0 时,-1<x<0或x>1当g'(x)<0时,x<-1或0<x<1故函数g(x)的增区间为:(-1,0)和(1,+∞)减区间为:(-∞,-1)和(0,1)