Chapter 10 - The Laplace Transform and Some Elementary Applications - 10.2 The Existence of the Laplace Transform and the Inverse Transform - True-False Review - Page 685: b

True

Let us consider that the function $f$ is periodic function with period $T$ . Also, $g(t+T)=f(t+c)$ Now, $g(t+T)=f(t+T+c)=f(t+c)=g(T)$ This implies that $T$ can be considered a period of function $g$. Therefore, the given statement is $\bf{True}$.