What is the inverted function of f(x)=e^(2-x)-e^2-x?

 f(x)=e^(2-x)-e^2-x?

 

$$f(x)=e^{(2-x)}-e^2-x$$

 

let f(x)=y

$$y=e^{(2-x)}-e^2-x$$

 

Here is the graph               

https://www.desmos.com/calculator/swkwcvrths

 

I don't know how to make x the subject but I can see that y maps to x  one to one 

and the function is continuous 

so I can just swap x and y over

$$x=e^{(2-y)}-e^2-y$$

 

This is not very elegant I am afraid :(