$f\left(x\right)$ and $g\left(x\right)$ both defined $R \to R$ are two non-constant continuous functions then

Statement – 1: If $g \left(x\right)$ is periodic then $f\left(g\right(x\left)\right)$ is also periodic

Statement – 2: If $g\left(x\right)$ and $f\left(x\right)$ are both aperiodic then $f(g (x\left)\right)$ is aperiodic.

Statement – 3: If $g\left(x\right)$ is periodic with fundamental period T then $f\left(g\right(x\left)\right)$ is not periodic

Statement – 4: If $g\left(x\right)$ is periodic with fundamental period T then $f\left(g\right(x\left)\right)$ is also periodic with period T

Which of the following must be truth value of above statements in that order.