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Pls answer the question. . . . . . . .. . . . . . . . . . . . .
given f(x) + xf(–x)= x+1.......(1)since it satisfies this for all x, replace x by – x, we getf(–x) – xf(x)= – x+1.......(2)eliminate f(–x) from (1) and (2) to get(1+x^2)*f(x)= 1+x^2or f(x)= 1since 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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