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Let g(x)=1+x-[x] and f(x)={-1,x < 0 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 (where [.] represents the greatest integer function). (a) `x` (b) `1` (c) `f(x)` (d) `g(x)`

A

`x`

B

`1`

C

`f(x)`

D

`g(x)`

Text Solution

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The correct Answer is:
B
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