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Aditya Gupta · Answer

given f(x) + xf(–x)= x+1.......(1) since it satisfies this for all x, replace x by – x, we get f(–x) – xf(x)= – x+1.......(2) eliminate f(–x) from (1) and (2) to get (1+x^2)*f(x)= 1+x^2 or f (x)= 1 since codomain of f is R, but range only 1, hence f is into. it is also many to one since f(3)= f(4). so option B is correct. KINDLY APPROVE :))

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