Answer:
The period of f(x) is twice the period of g(x).
Step-by-step explanation:
Refer the graphs shown below we have,
[tex]3cos\left ( \frac{1}{2}x\right )-5\texttt{ in red colour}\\\\3cosx-5\texttt{ in blue colour}[/tex]
We can see from graph that the period of f(x)=3cos(x/2)-5 is two times of g(x)=3cos(x)-5.
The period of f(x) is twice the period of g(x).
