Question

函數(shù)y=log(1-x²)的單調(diào)遞增區(qū)間是__________.

Answer 1

解析：函數(shù)的定義域是(-1,1)，設(shè)y=logu,u=1-x²，當(dāng)y=log(1-x²)是增函數(shù)時(shí)，由于函數(shù)y=logu是減函數(shù)，則函數(shù)u=1-x²是減函數(shù).又函數(shù)u=1-x²的單調(diào)遞減區(qū)間是［0,+∞)，則函數(shù)y=log(1-x²)的單調(diào)遞增區(qū)間是［0,1).

答案：［0,1).