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Let f: RR rarr RR be defined by f(x)=...

Let `f: RR rarr RR` be defined by
`f(x)={(|x|/(x) " when " x ne 0 ),(0" when "x =0 ):}`
and the function `g: RR rarr RR` be defined by `g(x) =[x]` where [x] is the greatest integer function. Prove that the functions (f o g) and (g o f) are same in [-1,0).

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