How do you find the inverse of an exponential function with multiple variables?

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Homework Help Overview

The discussion revolves around finding the inverse of the function exp(y-x)+5, which involves multiple variables. Participants are exploring the implications of having both x and y in the expression and how that affects the concept of an inverse function.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are attempting to clarify whether the expression is a function of x or y, with some suggesting that y may need to be treated as a parameter. Questions are raised about the nature of the function and how to isolate variables to find the inverse.

Discussion Status

The discussion is ongoing, with participants providing insights and questioning the setup of the problem. Some guidance has been offered regarding treating y as a parameter, but no consensus has been reached on the best approach to take.

Contextual Notes

There is uncertainty regarding the definition of the function and how to properly isolate variables for finding the inverse, which may be influenced by the presence of multiple variables in the expression.

AngryHan
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Homework Statement



Find the inverse of exp(y-x)+5

2. The attempt at a solution

I think the solution is y-ln(x-5) but I can't think of how to solve it to get that. I don't know what to do about the x and the y being together.
 
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Welcome to PF!

Hi AngryHan! Welcome to PF! :smile:
AngryHan said:
Find the inverse of exp(y-x)+5

This question makes no sense. :frown:

Only functions have inverses.

What is this a function of? x? y? y-x? :confused:​
 
Thanks tiny-tim :) It is a function of x I believe
 
So, what is y? A parameter?
 
I believe you need to take y to be a parameter, and let the function be

f(x) = t = exp(y-x)+5

Now, try to find the inverse.
 

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