Let g(x)=1+x-[x] and f(x)={:{(-1","x<0),...

Let `g(x)=1+x-[x]` and `f(x)={:{(-1","x<0),(0","x=0),(1","x>0):}`
Then for all x,f(g(x)) is equal to :

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The correct Answer is:

f(g(x))=1

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