Question

函数f（x）=

x+1

+(x-1)0+

1

2-x

的定义域为______．

Answer 1

要使函数f（x）=

x+1

+(x-1)0+

1

2-x

有意义
则

x+1≥0 x-1≠0 2-x≠0

解得x≥-1且x≠1且x≠2
∴函数f（x）=

x+1

+(x-1)0+

1

2-x

的定义域为{x|x≥-1且x≠1且x≠2}
故答案为：{x|x≥-1且x≠1且x≠2}