if f(x) = 2x + ln(x) , find f^(-1)(2)

i dont seem to be able to find the inverse of f(x) since its x= 2y+ln(y)..

Question

if f(x) = 2x + ln(x) , find f^(-1)(2)

i dont seem to be able to find the inverse of f(x) since its x= 2y+ln(y)..

anonymous · Answer

how am i able to solve for y?
anyone able to help

anonymous · Answer

maybe you don't need to solve for y...

can you solve this:  2x + lnx = 2  ???

anonymous · Answer

but i need to find the inverse.. to be able to use 2, right?

anonymous · Answer

not necessarily... the question asks to find $\large f^{-1}(2) $  NOT $\large f^{-1}(x) $

anonymous · Answer

so how am i able to solve 2x + ln(x) = 2?

anonymous · Answer

try guess and check... that's what i did...

anonymous · Answer

hmm..ok, thanks!

anonymous · Answer

c'mon.... the problems not that hard.... can you guess an x value that will hold true for the equation:  2x + lnx = 2   ???

anonymous · Answer

lol..i got it x= 1

but i just wanted to solve it analytically

anonymous · Answer

good!!!
since f(1) = 2,  tha means $\large f^{-1}(2)=  $  ????

anonymous · Answer

1?

anonymous · Answer

hmmm.. i have no idea how to solve that analytically.... maybe some will come by.... sorry... :(