I have this:
f is continuous on a closed interval [a,b] on a real line.
I defined g(x)=f(a+(b-a)x/pi) for x in closed interval [0,pi] such that f cont. on [a,b] is symmetric to function g over a the new interval [0,pi].
My question is how do I show that g is periodic?
How do I make this new function periodic?