题目

You may know about “ junk food” like French fries. But do you know about “junk sleep”? Recently, a British survey found that electronic(电子) products in teenagers bedrooms are affecting(影响)their sleep. The survey was done among 1,000 British kids from 12 to 16. It found that percent of them got just 4 to 7 hours sleep every day. But doctors say they need 8 to 9 hours. Almost a quarter of the kids said they fell asleep more than once a week while watching TV, listening to music or using other electronic products.“This is very worrying.” Said Dr Chris Idzikowski, a British exp已知函数f（x）=ax-a+1，（a＞0且a≠1）恒过定点（3，2），（1）求实数a；（2）在（1）的条件下，将函数f（x）的图象向下平移1个单位，再向左平移a个单位后得到函数g（x），设函数g（x）的反函数为h（x），求h（x）的解析式；（3）对于定义在[1，9]的函数y=h（x），若在其定义域内，不等式[h（x）+2]2≤h（x2）+m+2 恒成立，求m的取值范围．