If f(x) + 1 2f 3x x æ ö ç ÷ = è ø , x ¹ 0 and S = {x Î R : f(x) = f(–x)}; then S:

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 exactly two elements.

     

     

     

  2.  contains more than two e.l

  3. ements(c) is an empty s

  4. contains exactly one element.

Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Sets and Relations chapter.
JEE Main Previous Year 2016

Solution:

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