Values at a few points are given below for two functions$$f$($x$)$and$$g$($x$)$ that are defined for all real values$$of x$.$ Which of the following relations can be correct?

$$g$($x$)=2$f$($x$)$g$($x$)=2$f$($x$)$

$$g$($x$)=$f$(2$x$)$g$($x$)=$f$(2$x$)$

$$g$($x$)=$f$($x$)2$g$($x$)=2$f$($x$)$

g$($x$)=$f$($x$2)$g$($x$)=$f$(2$x$)$

$$g$($x$)=$f$(2$x$)2$g$($x$)=2$f$(2$x$)$