题目

Johnny lived with his mother and father in a small town in the mountains .  One day there was an earthquake near the  11   , Many houses were  12   . Everyone thought that there would soon be another earthquake .  They were  13   that the second earthquake would be worse than the first.  “We  14  send Johnny to a safe place ,” Johnny’s mother said to her husband , “Many of our friends are sending  15  children to relatives in other towns .”  “We’ll  16   him to my brother , Peter ,” Johnny’s father said . “He lives a long way away .Johnny will已知f（x）=lg（x+1）。（1）若0＜f（1-2x）-f（x）＜1，求x的取值范围；（2）若g（x）是以2为周期的偶函数，且当0≤x≤1时，g（x）=f（x），求函数y=g（x）（x∈[1，2]）的反函数。