Domain of the composition of these functions

Click For Summary

Homework Help Overview

The discussion revolves around determining the domain of the composition of three functions: f(x) = x - 1, g(x) = 4x, and h(x) = x². The original poster attempts to find the composition f(g(h(x))) and states that the domain is any real number.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Participants acknowledge the original poster's answer and express agreement. Some inquire about the range of the function and the characteristics of its graph, such as the presence of a maximum or minimum.

Discussion Status

The discussion appears to be supportive, with participants confirming the original poster's findings. However, additional questions about the range and graph characteristics indicate ongoing exploration of the topic.

Contextual Notes

No specific constraints or assumptions are noted, but the focus on the domain and related properties suggests a foundational understanding of function composition is being assumed.

zeion
Messages
455
Reaction score
1

Homework Statement



Form the composition f o g o h and give the domain.
f(x) = x - 1, g(x) = 4x, h(x) = x2

Homework Equations





The Attempt at a Solution



f(g(h(x))) = 4x2-1

The domain of x is any real number.
 
Physics news on Phys.org
your answer looks to be correct.
 
Looks good to me.

You know how to state the range as well?
 
What is the shape of the graph? Does it have a maximum or minimum?
 

Similar threads

  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 22 ·
Replies
22
Views
2K
  • · Replies 23 ·
Replies
23
Views
4K