$f\left(x\right)$ and $g\left(x\right)$ are two functions defined for all real values of $x$. $f\left(x\right)$ is an even function and $g\left(x\right)$ is periodic function, then-

The graph of function $f\left(x\right)$ is as shown. adjacently. Then the graph of $\frac{1}{f\left(\left|x\right|\right)}$ is-

Let $f\left(x\right)=\left\{\begin{array}{ll}4,& x<-1\\ -4x& -1\le x\le 0\end{array}\right.$

If $f\left(x\right)$ is an even function in $R$ then the definition of $f\left(x\right)$ in $\left(0,\infty \right)$ is-