函数y中自变量x的取值范围是( ) A.x>3                 

函数y中自变量x的取值范围是(  )

Ax3                      Bx3                        Cx3                        Dx0

答案

C

【解析】

根据二次根式有意义的条件:被开方数大于或等于0,可以求出x的范围.

【详解】

由题意得:x-30

解得:x3

故选C.

【点睛】

本题考查了求函数自变量的范围,一般从三个方面考虑:(1)当函数表达式是整式时,自变量可取全体实数;(2)当函数表达式是分式时,考虑分式的分母不能为0(3)当函数表达式是二次根式时,被开方数为非负数.

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