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Q.

Let fx=x+x where [.] denotes the integral part of x and {x} denotes the fractional part of x. Then f-1x is

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a

x+x

b

x+x2

c

x2+x

d

x+x

answer is B.

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Detailed Solution

y=x+x⇒y+y=x+x⇒y=x.....                                     ∴  y=x⇒x=y2⇒x+x=y+y2⇒x=y+y2⇒f-1x=x+x2
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