If f(x) = 2x + lnx, find f^-1(2). Give reasons.

I was able to solve this graphically, f^-1(2)= 1. However, i was wondering if there was an algebraic way of doing it. Thank you :)

find the inverse

x=2y+lny
x-2y=lny
e^(x-2y)=y
e^x*e^-2y=y
e^x=y/(e^2y)
I don't think there is an analytical way of doing this.

Are you trying to do inverse function? if you are than all you have to do is switch the x's with the y's and solve for y. this should be your inverse function