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There are three real numbers  that are not in the domain of

f(x) = (x - 1)(x - 2)(x - 3)/(x(x - 1)(x - 2))

What is the sum of those three numbers?

 May 1, 2022
 #1
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[(x - 1)(x - 2) (x - 3)]  / [  x ( x  -1) ( x -2) ]

 

Any x that makes the denominator =   0    is not in the domain

 

So      x = 0    x =  1  and  x  = 2   are not in the domain

 

 (We will have  "holes" at x = 1   and x = 2   and a vertical asymptote at x =  0  )

 

 

cool cool cool

 May 1, 2022

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