Question

If a function defined on f : R $\to$ R with 6 as the period of the f(x). If f(0) = 13 then find f(96) ?

Answer 1

According to the definition of periodic function -

f(x) = f(x + 6n) where n ∈ I

So, f(0) = f(0 + 6) = f(6) ; n=1

or f(6) = f(12) ; n = 2

or f(12) = f(18) ; n =3

f(0) = f (0 + (16). 6) ; n =16

f(0) = f(96) = 13.