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

 

2.Let \[f(x) = \frac{3x - 7}{x + 1}.\] Find the domain of $f$. Give your answer as an interval.

 Mar 14, 2018
 #1
avatar+100571 
+1

First one

 

0 is not in the domain

-1 is not in the domain

-1/2 is not in the domain

 

The sum of these   is   -3/2

 

 

cool cool cool

 Mar 14, 2018
 #2
avatar+100571 
+1

\(\frac{3x - 7}{x + 1}\)

 

The domain  will include all real numbers except x  =  -1

 

So.....

 

(-inf, -1)   U  (-1, inf )

 

 

cool cool cool

 Mar 14, 2018

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