函數(shù)y=log(x-1)(3-x)的定義域是( ?。?A.(1,2)∪(3,4) B.[1,2]∪[3,4] C.(1,2)∪(2,3) D.[1,2]∪[2,3]
函數(shù)y=log(x-1)(3-x)的定義域是( )
A. (1,2)∪(3,4)
B. [1,2]∪[3,4]
C. (1,2)∪(2,3)
D. [1,2]∪[2,3]
優(yōu)質(zhì)解答
函數(shù)y=log
(x-1)(3-x)的定義域滿足:
,解得1<x<2或2<x<3.
∴函數(shù)y=log
(x-1)(3-x)的定義域是(1,2)∪(2,3).
故選:C.
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