Inverse of functions

Question

Let F(x)=eX+3
Find the inverse of the function

Answer 1

y =e^x +3

x= e^y +3

x-3 = e^y

Ln(x-3) =Ln e^y = y

 

F^-1(x) = Ln (x-3)

 

Verify F(0)= e⁰ +3 =4

          F^-1(4) = Ln(4-3) = Ln 1 = 0