Question

函数y=e^2x+1（-∞＜x＜+∞）的反函数是 ______．

Answer 1

∵y=e2x+1?2x+1=lny?x=

1

2

(lny-1)，
所以反函数是y=

1

2

(lnx-1)(x＞0).
故答案为：y=

1

2

(lnx-1)(x＞0)．