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Q.

If f:R→R and g:R→R are given by f(x)=x and​ g(x)=[x] for each x∈R, then x∈R:gfx≤fgx=

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a

Z∪(−∞, 0)

b

(−∞, 0)

c

Z

d

R

answer is D.

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Detailed Solution

gfx≤fgx⇒gx≤f[x]x≤x this is true for x∈R.
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