For which value of x is each rational expression not defined?

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Discussion Overview

The discussion revolves around identifying the values of x for which a given rational expression is not defined, specifically focusing on the expression 3/x. Participants explore concepts related to division by zero and the implications for rational functions.

Discussion Character

  • Conceptual clarification, Debate/contested, Homework-related

Main Points Raised

  • One participant questions whether solving for x is necessary to determine when the expression is not defined.
  • Another participant suggests that x=0 is a critical value since division by zero is undefined.
  • A different participant explains that a rational expression is undefined wherever the denominator equals zero or where other operations become impossible, such as logarithms or square roots.
  • Humorous comments are made about dividing by zero, indicating a light-hearted tone in parts of the discussion.
  • One participant expresses gratitude for the help and indicates they have gained understanding from the discussion.

Areas of Agreement / Disagreement

Participants generally agree that division by zero is a key issue for determining when the expression is not defined, but there is no consensus on the necessity of solving for x or the broader implications for rational functions.

Contextual Notes

Some assumptions about the nature of rational expressions and the conditions under which they are defined may not be fully articulated, and the discussion includes informal language and humor that may affect clarity.

Who May Find This Useful

Students learning about rational expressions and their properties, as well as those interested in foundational concepts in algebra.

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I don't get it...

For which value of x is each rational expression not defined?

a) 3/x

are you supposed to solve for x? or?
 
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What if x= 0? Have you learned how to divide by 0?
 
Wherever either the denominator turns into something you can't divide by (a.k.a zero) or some other operation becomes impossible, like a zero in a log or negative in a square root etc. Basically wherever the graph doesn't have a y-value for the x-value. in a 3/x you REALLY can tell. if you never looked at a rational function and you're used with the linears, it comes as a shock...:)
 
Chuch Norris can divide by 0...Go ask him how to.
 
He can probably spell his own first name, too.
 
Yeah probably...
 
Yeah i know how to do it now. Thanks anyways guys. Ill keep your site under favourites so if there's anything I'll be sure to give you guys a click o:)

:biggrin:
 

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