Answer
The following is the graph of $g(x)$.
Work Step by Step
The parent function of $g(x)=\cos(2x)+1$ is $f(x)=\cos(x)$.
We have $g(x)=f(2x)+1$ or $g(x)=f(\frac{x}{1/2})+1$.
It describes that the graph of $g(x)$ is obtained by shrinking horizontally by factor of $1/2$ followed by shifting up by 1 unit.
Sketch the graph of $g(x)=1+\cos(2x)$:
