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

In summary, the conversation is about finding the values of x for which a rational expression is not defined. It is explained that this happens when the denominator is zero or when other operations make the expression impossible to solve. The conversation also includes some jokes about Chuck Norris being able to divide by zero, and ends with the person thanking the others for their help.
  • #1
Nub
3
0
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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  • #2
What if x= 0? Have you learned how to divide by 0?
 
  • #3
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...:)
 
  • #4
Chuch Norris can divide by 0...Go ask him how to.
 
  • #5
He can probably spell his own first name, too.
 
  • #6
Yeah probably...
 
  • #7
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:
 

1. What is a rational expression?

A rational expression is an algebraic expression that is written as a ratio of two polynomials. It can also be thought of as a fraction with variables in the numerator and denominator.

2. Why do we need to find values of x for which a rational expression is not defined?

Knowing the values of x for which a rational expression is not defined helps us to avoid dividing by zero, which is undefined in mathematics. It also helps us to identify any potential restrictions on the domain of a rational function.

3. How do we determine the values of x for which a rational expression is not defined?

To determine the values of x for which a rational expression is not defined, we need to look for any values of x that would make the denominator equal to zero. These values are called the excluded values.

4. Can a rational expression be undefined for more than one value of x?

Yes, a rational expression can be undefined for more than one value of x. This can happen when there are multiple terms in the denominator, each with its own excluded value.

5. What is the significance of finding the excluded values of a rational expression?

Finding the excluded values of a rational expression is important because it allows us to properly simplify and evaluate the expression. It also helps us to identify any asymptotes or holes in the graph of a rational function.

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