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avatar+921 

Let
f(x)=11+21+3x.
There are three real numbers x that are not in the domain of f(x). What is the sum of those three numbers?

 Jan 25, 2024
 #2
avatar+130491 
+1

3/x  makes 0 not in the range

 

2 / (1 + 3/x)  =  2 / [ (x + 3) /x ]  =  [2x ] / (x + 3)    makes - 3 not in the range

 

1 + (2x) / ( x + 3)  =  [ (x + 3)+ 2x ] / (x +3) =  [ 3x + 3 ] / (x + 3)

 

So

1 / [ (3x + 3) / ( x + 3) ] =   (x + 3) / (3x + 3)      makes  -1  not in the  range

 

Sum of  three numbers =  0 + (- 3) + ( -1 )   =  -4

 

 

cool cool cool

 Jan 26, 2024

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