+0  
 
+1
20
1
avatar+1347 

Let
$$f(x) = \frac{1}{1+\frac{2}{1+\frac 3x}}.$$
There are three real numbers $x$ that are not in the domain of $f(x)$. What is the sum of those three numbers?

 Oct 13, 2023
 #1
avatar+36921 
+2

Denominators cannot equal zero 

   so x obviously cannot   = 0      in 3/x          <=====first one 

     then   1 + 3/x   cannot equal zero....so 'x' cannot =  -3               <====second one   

         then   1 + 2/(1 + 3/x)   cannot equal zero....this will happen if  x = -1                   <====third one 

 

Sum total  :     0 + -3 + -1   = -4   

 Oct 14, 2023

2 Online Users

avatar
avatar