I'm dealing with a problem here.
We know that two functions are the same if they have the same domain and codomain.
Let's say we have given the functions $f$ ang $g$ where $f\left(\frac{3x-8}{4}\right) = g(x)$ . The tasks says: If function f has the period 9, find the period of g. The solution in my book says that the period of g is 12.
But what I don't understand is how can two equal functions have different periods(9 and 12)?!
Can anyone help me ?
Thank you!