根号下1-x,所以1-x≥0,即x≤1
2x^2-3x-2作分母,所以2x^2-3x-2≠0,即x≠2且x≠-1/2
综上,x≤1且x≠-1/2
所以定义域为(-无穷,-1/2)∪(-1/2,1]