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Functions question

2016 · Shift 0 · Q37
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  5. /2016 · Shift 0 · Q37

Functions question

2016 · Shift 0 · Q37

JEE MainMathematicsFunctionsMCQ+4 / −1
If f(x)+2f(1x)=3x,xeq0f(x)+2 f\left(\frac{1}{x}\right)=3 x, x eq 0f(x)+2f(x1​)=3x,xeq0, and S={x∈R:f(x)=f(−x)}\mathrm{S}=\{x \in \mathbf{R}: f(x)=f(-x)\}S={x∈R:f(x)=f(−x)}; then S:\mathrm{S}:S:
  1. A
    is an empty set.
  2. B
    contains exactly one element.
  3. C
    contains exactly two elements.
  4. D
    contains more than two elements.
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