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

Let \[g(x)=1+x-[x]\] and \[f(x)=\left\{ \begin{align} & -1,\ x\text

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

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