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If f(x) + 2f ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ x 1 = 3x, x ≠ 0, and S = {x ∈ R : f(x) = f(–x)}; then S :

1. is an empty set
2. contains exactly one element
3. contains exactly two elements
4. contains more than two elements Students may find similar question in CP exercise sheet : [ JEE Advance, Chapter : Function, Ex. # 4, Q._17 ]

Correct answer: contains exactly two elements

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