Answer
$f^{-1}(2)=1$
Work Step by Step
let $f^{-1}(2)=x, f(x)=2$
$2=2x+\ln x$
try $x=1$
RHS= $2\times1+\ln1=2+0=2$ =LHS
$\therefore f^{-1}(2)=1$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.