Question

inverse of F
f(x) = 2 + ln x

Answer 1

y = 2 + lnx
inverse switch x and y and solve for y

so x = 2 + lny
lny=x-2
e^(lny)=e^(x-2)
y=e^(x-2)

Answer 2

if you don't understand that, the rule is:
e^(lna)=a..
or in your case y