The period of function f(x) is 4 while the period of g(x) = 2 cos(πx) is 2 hence this is difference.
What is a period of any function?
The period of the function is the interval between repetitions of any function. A trigonometric function's period is typical of one whole cycle. As a preliminary step, we could use x = 0 for just any trigonometry curve function.
In another word the period of any function is the interval by which the function will going to get the same value as other with respect to changing variable.
Given that the function is f(x) has period 4 which can be observed by looking at the function.
If you look at function f(x) then you will notice after 4 intervals it is going to repeat itself.
And the period of g(x) = 2 cos(πx) is 2 which can be calculated by several methods either graphical or mathematical.
For more information about the period
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