解:定义域:1-(1/2)^x≥0 (1/2)^x≤1 2^X≥1 x≥0下面求值域:0<(1/2)^x≤1-1≤-(1/2)^x<00≤1-(1/2)^x<10≤√[1-(1/2)^x]<1所以y=√[1-(1/2)^x]∈[0 ,1) 答案:定义域:x≥0 值域:y∈[0 ,1)