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.
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
\(\frac{3x - 7}{x + 1}\)
The domain will include all real numbers except x = -1
So.....
(-inf, -1) U (-1, inf )
