Here we need to use the fact that the domain of the given function is same as the range of the inverse function and the range of given function is same as the domain of the inverse function .
In this question, range of the function is
, therefore the domain of the inverse function is
![4<x<7](https://img.qammunity.org/2019/formulas/mathematics/college/kfeiyx2fo9q2v04rr1ymdzlzyh9nbklh5s.png)
Correct option is the last option .