Let $g(x)=1+x-[x]$ and $f(x)= \begin{cases}-1, & x < 0 \\ 0, & x=0 \\ 1, & x>0\end{cases}$ \([x]\) denotes the greatest integer less than or equal to \(x\). Then for all $\mathrm{x}, \mathrm{f}(\mathrm{g}(\mathrm{x}))=$

• Correct answer
  A

  $1$
• B

  x
• C

  $f(x)$
• D

  $g(x)$

Hence, the correct answer is option: 'A'.