If f(x)+2 f ( 1 x )=3 x, x 0, and 5= x R: f(x)=f(-x) , then S:

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If \(f(x)+2 f\left(\frac{1}{x}\right)=3 x, x \neq 0, \text { and } 5=\{x \in R: f(x)=f(-x)\}\), then S:
  1. is an empty set
  2. contains exactly one element
  3. contains exactly two elements
  4. contains more than two elements

Answer

(B) contains exactly one element

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