How would you find the inverse function of $\displaystyle f(x) = 2x+lnx , find F^-1(2)$
You can not find the inverse function by using the standard methods. Note that $\displaystyle \color{blue}f(1)=2(1)+ln(1)=2$. Hence: $\displaystyle \color{blue} f^{-1}(2)=1$.