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## Homework Statement

Find the inverse function of [itex] f(x)= 2x + lnx [/itex]

**2. The attempt at a solution**

So usually i would start out with

[itex] y= 2x+lnx [/itex] (finding x terms of y)

and then switch x and y... but i can't figure out how to find x. doesn't seem to be possible to factorize this... are there other ways of doing this?