【题文】函数的反函数为________.
【题文】函数的反函数为________.
题型:难度:来源:
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191620-92997.png)
的反函数为________.
答案
【答案】
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191621-98223.png)
解析
【解析】
试题分析:由题意可得令
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191621-66488.png)
,所以
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191621-62040.png)
,即函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191620-92997.png)
的反函数为
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191621-98223.png)
.
考点:1.反函数的概念.2.对数运算与指数运算.
举一反三
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191616-10306.png)
的定义域为________.
【题文】函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191537-63710.png)
的定义域为________.
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191506-17394.png)
是函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191506-30938.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191506-13912.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191506-58369.png)
)的反函数,其图像过点
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191506-77920.png)
,则
.
【题文】已知函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191501-64108.png)
是函数
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191502-36306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191502-50365.png)
且
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191502-45018.png)
)的反函数,其图像过点
![](http://img.shitiku.com.cn/uploads/allimg/20200330/20200330191502-62312.png)
,则
.
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