Let gx=fx-1. If fx+f1-x=2∀x∈R, then gx is symmetrical about

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the origin

the line x=12

the point 1,0

the point 12,0

answer is D.

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Detailed Solution

fx-1+f1-x-1=0So, gx+g1-x=0.Replacing x by x+12, We get g12+x+g12-x=0.So, it is symetrical about 12,0.

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