f(x)=e^2x + 4e^x + 5 , find f^-1(x)

Might be best to express the function as follows first:

$$f(x)=(e^x+2)^2+1$$

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$$$$Deleted Deleted.

Sorry Melody, can't say that I like picking up on mistakes, but

$$e^{x}.e^{2}=e^{x+2}$$, not $$e^{2x}.$$

Thanks Bertie,

I like my mistakes to get picked up.

If they are not picked up then I am teaching nonsense and I would never want to do that.