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Q.

The functions f:R→R, g:R→R are defined asf(x)=01when x is rationalwhen x is irrationalg(x)=−10when x is rationalwhen x is irrationalthen (fog)(π)+(gof)(e)=_______

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a

+1

b

-1

c

+2

d

-2

answer is B.

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Detailed Solution

(fog)(π)+(gof)(e)=fg(π)+gf(e)=f(0)+g(1)=0−1=−1

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