Let $g: R \rightarrow R$ be a differentiable function with $g(0)=0, g^{\prime}(0)=0$ and $g^{\prime}(1) \neq 0$. Let $f(x)=\left\{\begin{array}{cc}\frac{x}{|x|} g(x), & x \neq 0 \\ 0, & x=0\end{array}\right.$ and $h(x)=e^{|x|}$ for all $x \in R$. Let (foh)(x) denote $f(h(x))$ and (hof)(x) denote $h(f(x))$. Then which of the following is(are) true?