If f: R \to R and g: R \to R are defined by f(x)=x-[x] and g(x)=[x] for x \in R, where [x] is the greatest integer not exceeding x, then for every x \in R, f(g(x)) is equal to

EAMCET Engineering 2007 Solved Paper

Section: Mathematics

Question : 83 of 160

Marks: +1, -0

If f:R→R and g:R→R are defined by f(x)=x−[x] and g(x)=[x] for x∈R, where [x] is the greatest integer not exceeding x, then for every x∈R,f(g(x)) is equal to

x
0
f(x)
g(x)

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