Why Is Calculating f(2+h) So Confusing?

  • Context: High School 
  • Thread starter Thread starter ceiling cat
  • Start date Start date
Click For Summary

Discussion Overview

The discussion revolves around the calculation of the function f(2+h) where f(x) = x/(x+1). Participants are exploring the steps involved in substituting 2+h into the function and addressing confusion regarding the expression and its simplification.

Discussion Character

  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses uncertainty about calculating f(2+h) and doubts their initial result.
  • Another participant questions the notation used in the function, seeking clarification on the expression x/x versus x/(x+1).
  • A later reply confirms the correct interpretation of the function as x/(x+1) and agrees with the calculation of f(2+h) = (2+h)/(3+h).
  • There is a caution noted about the values of h and x that could lead to division by zero, specifically that h cannot equal -3 when substituting into the function.

Areas of Agreement / Disagreement

Participants generally agree on the correct form of the function and the calculation of f(2+h), but there is some initial confusion and clarification needed regarding the notation.

Contextual Notes

There is an implicit assumption that participants understand the implications of division by zero, but this is not explicitly detailed in the discussion.

ceiling cat
Messages
2
Reaction score
0
:(
I already don't know how to do my first assignment.
I mean, I do, but I really don't remember how.

f(x) = x/x+1

Find f(2+h), h is nonzero.
f(2+h) = 2+h / 2+h+1
f(2+h) = 2+h / 3+h
Is this it? I don't think it is. :(


I think once I get past that, I can do it.
 
Physics news on Phys.org
how do you get the 3? I hope your writing your fraction properly. What does x/x mean to you. OR do you mean x/(x+1)?
 
Yeah, sorry. x/(x+1)
 
Yes. That's it.

f(2+h) = 2+h / 3+h

You should notice that h is not equal to -3 or x is not equal to -1 as x = 2+h . something over zero is meaningless.
 

Similar threads

High School Why does the Limit Process give an Exact Slope?
  • · Replies 53 ·
2
Replies
53
Views
7K
Undergrad Why prove Taylor's theorem with p(x)=q(x)−((b−a)^n/(b−x)^n)q(a)?
  • · Replies 9 ·
Replies
9
Views
3K
Undergrad Multivariable fundamental calculus theorem in Wald
  • · Replies 2 ·
Replies
2
Views
2K
Graduate Question about proof of Great Picard Theorem
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Understanding a proof of inexistence of max nor min
  • · Replies 4 ·
Replies
4
Views
2K
High School Proof of Chain Rule: Understanding the Limits
  • · Replies 3 ·
Replies
3
Views
2K
High School Why is this definite integral a single number?
  • · Replies 20 ·
Replies
20
Views
4K
Undergrad Recovering some math notions: Variations
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Multivariable Differentiation .... McInerney Definition 3.1.1 ....
  • · Replies 22 ·
Replies
22
Views
4K
High School Is it possible to manipulate partial derivatives in this manner?
  • · Replies 6 ·
Replies
6
Views
2K