1.

Let \[g(x)=1+x-[x]\] and \[f(x)=\left\{ \begin{align} & -1,\ x<0 \\  & 0,\ \ x=0,\\\  & \text{1,}\ \ \ \text{x}>\text{0} \\ \end{align} \right.\]then for all \[x,\ f(g(x))\] is equal to [IIT Screening 2001; UPSEAT 2001]

A. x
B. 1
C. \[f(x)\]
D. \[g(x)\]
Answer» C. \[f(x)\]


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