JEE Mains · Maths · STD 12 - 1. relation and function
If \(f\left( x \right) + 2f\left( {\frac{1}{x}} \right) = 3x,x \ne 0\) and \(S = \left\{ {x \in R:f\left( x \right) = f\left( { - x} \right)} \right\}\);then \(S :\)
- A contains more than two elements.
- B contains exactly two elements.
- C is an empty set.
- D contains exactly one element.
Answer & Solution
Correct Answer
(B) contains exactly two elements.
Step-by-step Solution
Detailed explanation
\(f(x)+2 f(1 / x)=3 x\) ........\((1)\) \(\mathrm{x} \rightarrow \frac{1}{\mathrm{x}} \Rightarrow \mathrm{f}(1 / \mathrm{x})+2 \mathrm{f}(\mathrm{x})=3 / \mathrm{x}\) ........\((2)\)…
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