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Question

If f:RR and g:RR are given by f(x)=|x| and g(x)=[x] for each xR, then {xR:g(f(x))f(g(x))}=

A
Z(,0)
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B
(,0)
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C
Z
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D
R
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Solution

The correct option is D R
g(f(x))f(g(x))g(|x|)f([x])[|x|][|x|]
This is true for each xR

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