Answer
See graph and explanations.
Work Step by Step
Step 1. Use test points $x=-3,-2,-1,0,1,2,3,...$ to graph $f(x)=(\frac{1}{2})^x$ as shown in the figure (red curve).
Step 2. Use test points $x=\frac{1}{4},\frac{1}{2},1,2,4...$ to graph $g(x)=log_{1/2}(x)$ as shown in the figure (blue curve).
Step 3. We can see that the two functions are symmetric with respect to $y=x$ and inverses to each other.
