Derivatives

Q. If $f\left(x\right),g\left(x\right)$ be twice differential functions on $[0,2]$ satisfying $f^{\prime \prime }\left(x\right)=g^{\prime \prime }\left(x\right)$, $f^{\prime }\left(1\right)=2g^{\prime }\left(1\right)=4$ and $f\left(2\right)=3g\left(2\right)=9$, then

1. $f\left(4\right)-g\left(4\right)=10$
   
2. $|f\left(x\right)-g\left(x\right)|<2\Rightarrow -2<x<0$
   
3. $f\left(2\right)=g\left(2\right)\Rightarrow x=-1$
   
4. $f\left(x\right)-g\left(x\right)=2x$ has real root