Answer
See explanations.
Work Step by Step
Step 1. Test $f(g(x))=2^{log_2x}=x$ and $g(f(x))=log_2(2^x)=x$; thus $f$ and $g$ are inverse to each other.
Step 2. We can obtain the graph of $g$ by reflecting the graph of $f$ with respect to the line $y=x$
