JEE Main 2016Session, Shift 1MathematicsMediumSets, Relations and Functions168× since 2002If f(x)+2f(1x)=3x,x≠0f(x)+2 f\left(\frac{1}{x}\right)=3 x, x \neq 0f(x)+2f(x1)=3x,x=0, and S={x∈R:f(x)=f(−x)}\mathrm{S}=\{x \in \mathbf{R}: f(x)=f(-x)\}S={x∈R:f(x)=f(−x)}; then S:\mathrm{S}:S:AOption A. is an empty set.BOption B. contains exactly one element.COption C. contains exactly two elements.DOption D. contains more than two elements.CheckSkip · show solution
