Algebra Inverse Function Problem

Click For Summary

Homework Help Overview

The discussion revolves around finding the inverse of the function f(x)=(x-3)^2 -1, specifically for the domain where x≥3. Participants are exploring how the domain restriction affects the process of determining the inverse function.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants are questioning how the domain condition x≥3 influences the inverse function and what implications it has for the overall problem. There is also a request for clarification on the steps needed to isolate x in the equation.

Discussion Status

The discussion is active with participants seeking to understand the implications of the domain on the inverse function. Some have provided insights about the domain being limited, while others are asking for specific steps to solve for x.

Contextual Notes

The original poster expresses confusion regarding the transformation of the domain condition when finding the inverse, indicating a need for further exploration of this aspect.

nordqvist11
Messages
15
Reaction score
0

Homework Statement


f(x)=(x-3)^2 -1 for x ≥3


Homework Equations





The Attempt at a Solution


I am having difficulty grasping the concept of changing the greater than or equal to part of the equation above to it's inverse form. If for x it says x≥3 then how would that statement be relevant to finding the inverse of the function. In other words, I need clarification as to how that specific aspect of the equation changes in inverse form.
 
Physics news on Phys.org
Well, what does the condition x≥3 mean for the equation f(x)=(x-3)^2 -1 ?
 
That the domain is limited and does not include all real numbers for the function. I guess it sets a domain limit?
 
Show what steps are needed to solve y=(x-3)2 -1 for x.
 

Similar threads

  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 19 ·
Replies
19
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 9 ·
Replies
9
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
6
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K