Solve the equation

Question:

If $f(x)+2 f\left(\frac{1}{x}\right)=3 x, x \neq 0$, and $S=\{x \in R: f(x)=f(-x)\} ;$ then $S:$

  1. contains more than two elements. (2) (3) c (4) 

  2. is an empty set. 

  3. contains exactly one element

  4. contains exactly two elements


Correct Option: , 4

Solution:

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