[x] $ then $ {f^{-1}}(x) $ equals [Orissa JEE 2005]
A) $ x-2 $
B) $ x+1 $
C) $ x-1 $
D) $ x+2 $
Correct Answer: D
Given $ f:(2,,3)\to (0,,1) $ and $ f(x)=x-[x] $ \ $ f(x)=y=x-2 $ Þ $ x=y+2={f^{-1}}(y)\Rightarrow {f^{-1}}(x)=x+2 $ .
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