Answer
All real numbers except 0
Work Step by Step
We know that $(g+h)(x)$ is the same as the sum of the two functions. Thus, we find:
$$ 2x+1+\frac{1}{x}$$
Now, we see that the only domain restriction is that the denominator in $\frac{1}{x} $ cannot be 0. Thus, we see that the function exists for all real numbers except 0.
