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The domain of the equation y = 3x/(x^2 - 6x + 4)  is the set of all real numbers with the exception of the values x = A and x = B. What is A + B?

 Feb 12, 2021
 #1
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The  domain will include  all  x values  except    the ones  that   make  x^2  - 6x + 4   =   0

 

These two values, A and B,   will  be  the roots of this quadratic function.....by Vieta...... in the  form ax^2 +bx + c.....the  sum of the roots =    -b /a

 

So   we  have

 

-(-6) / 1 =    -6

 

So

 

A +  B  =   -6

 

 

cool cool  cool

 Feb 12, 2021

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