Algebra Inverse Function Problem

AI Thread Summary
The discussion centers on finding the inverse of the function f(x) = (x-3)² - 1, specifically for the domain x ≥ 3. The participant seeks clarification on how the condition x ≥ 3 affects the inverse function. It is noted that this condition limits the domain and is crucial for determining the correct inverse. To find the inverse, one must solve the equation y = (x-3)² - 1 for x, taking into account the specified domain. Understanding these constraints is essential for accurately deriving the inverse function.
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.
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

State the domain and range for a given function
Replies
7
Views
2K
Composite and Inverse Functions Problem
Replies
3
Views
2K
To find the range of a given ##\sin## function
Replies
15
Views
2K
Domain and Range of a Function and Its Inverse- Polynomials
Replies
9
Views
2K
Finding the inverse of ##y=2^{x}##
Replies
19
Views
3K
Find the inverse function of ##f(x) =x^4+2x^2##
Replies
11
Views
3K
Find the function that matches the equation
Replies
9
Views
2K
Prove an equation involving inverse circular functions
Replies
6
Views
2K
Calculating Inverse Functions for Hourly Salary and Production Units
Replies
6
Views
2K
A problem in Inverse Circular Functions in Trigonometry
Replies
9
Views
2K

Hot Threads

Recent Insights

Back
Top