SOLUTION: I'm having problems with a question it is find the inverse of f(x)=e^(x-5)-5 I have taken y and substituted for x to get x=e^(y-5)-5 then 5+x= e^(y-5) I'm not sure if I'm

Algebra ->  Graphs -> SOLUTION: I'm having problems with a question it is find the inverse of f(x)=e^(x-5)-5 I have taken y and substituted for x to get x=e^(y-5)-5 then 5+x= e^(y-5) I'm not sure if I'm      Log On


   



Question 643521: I'm having problems with a question
it is find the inverse of f(x)=e^(x-5)-5
I have taken y and substituted for x to get
x=e^(y-5)-5 then
5+x= e^(y-5)
I'm not sure if I'm doing this right and where to go from here

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You're on the right track. Keep going to solve for y.

5%2Bx=+e%5E%28y-5%29+

ln%285%2Bx%29=+y-5+

ln%28x%2B5%29%2B5=+y+

y+=+ln%28x%2B5%29%2B5+

So the inverse function is