【题文】函数的反函数是
【题文】函数的反函数是
题型:难度:来源:
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035204-53237.png)
的反函数是
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035204-98916.png)
解析
【解析】
试题分析:由
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035204-23976.png)
得
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035205-91802.png)
,∴
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035205-72606.png)
,即
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035205-64603.png)
,又由
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035205-37660.png)
,得
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035206-25608.png)
,即
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035204-23976.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035206-17303.png)
,∴所求反函数为
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035204-98916.png)
.
考点:反函数
举一反三
【题文】若
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035157-72939.png)
,则有( ).
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035150-13535.png)
,且关于x的方程
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035150-72006.png)
有且只有一个实根,则实数a的取值范围是
________.【题文】若
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035140-16116.png)
,则有( ).
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035123-81739.png)
,且函数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035123-53495.png)
有且只有一个零点,则实数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035124-70556.png)
的取值范围是( )
A.
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035124-84696.png)
B.
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035125-50217.png)
.
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035125-41408.png)
D.
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035125-35920.png)
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035119-41181.png)
,则
![](http://img.shitiku.com.cn/uploads/allimg/20200328/20200328035119-28991.png)
=________.
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