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Find all values for which the rational expression is underfined.

 

(4x+2) / (x^2-3x+2)

 

Select the correct choice below and,if neccessary, fill in the answer box to complete your choice.

 

a. The number(S) for which the rational expression is underfined is/are ____.

b. There are novalues for which the expression is underfined.

 

Thank You :)

 Nov 25, 2015
edited by Guest  Nov 25, 2015
edited by Guest  Nov 25, 2015
edited by Guest  Nov 25, 2015

Best Answer 

 #2
avatar+118608 
+10

(4x+2) / (x^2-3x+2)

 

\(=\frac{(4x+2) }{ (x^2-3x+2)}\\ =\frac{2(2x+1) }{ (x-1)(x-2)}\\ \mbox{You cannot divide by zero so } \\ x-1\ne0\qquad and \qquad x-2\ne 0\\ x\ne1\qquad\qquad and \qquad x\ne 2\\\)

 

a. The number(S) for which the rational expression is underfined is/are x=1 and x=2

 

Perhaps you can try to do the other ones yourself :)

 Nov 25, 2015
 #1
avatar+128406 
+15

This will be undefined when the denominator = 0 

 

That is, when 

 

x^2 -3x + 2 = 0    

 

factor

 

(x - 2) ( x - 1)  = 0

 

And setting each factor to 0,  x = 2   and x = 1

 

And these are the values that make the rational function undefined.

 

 

cool cool cool

 Nov 25, 2015
 #2
avatar+118608 
+10
Best Answer

(4x+2) / (x^2-3x+2)

 

\(=\frac{(4x+2) }{ (x^2-3x+2)}\\ =\frac{2(2x+1) }{ (x-1)(x-2)}\\ \mbox{You cannot divide by zero so } \\ x-1\ne0\qquad and \qquad x-2\ne 0\\ x\ne1\qquad\qquad and \qquad x\ne 2\\\)

 

a. The number(S) for which the rational expression is underfined is/are x=1 and x=2

 

Perhaps you can try to do the other ones yourself :)

Melody Nov 25, 2015
 #3
avatar+118608 
0

Hi Chris, I thought that you sere doing another post.  Did you change your mind?

 Nov 25, 2015
 #4
avatar+128406 
0

Yep......beat you to this one.....!!!!!   LOL!!!!!!!

 

 

 

cool  cool cool

 Nov 25, 2015
 #5
avatar+118608 
0

You had not started posting yet when I started posting, at least there was no sign saying so.

If there had been I would of left you to it.  :/

 

But yes you did bet me to the publisher. :)

 Nov 25, 2015
 #6
avatar
0

....interesting that THIS and another post ask for when the function is 'UNDERFINED'   and the answer is when the 'under' is undefined !

 Nov 25, 2015

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