Function Equation Value

CMAT 2021 · Quantitative Techniques & Data Interpretation · Medium · Functions

Let g(x)+g(1x)=1+3xg(x) + g\left(\frac{1}{x}\right) = 1 + 3x. Find the value of g(3)g(3).

  1. A.

    -4

  2. B.

    -\frac{1}{2}

  3. C.

    \frac{1}{2}

  4. D.

    3

Answer

A

Explanation

Note: This question in CMAT 2021 Slot 2 contained an inconsistency as g(x)+g(1/x)g(x) + g(1/x) should be symmetric in xx and 1/x1/x, whereas 1+3x1 + 3x is not symmetric. Marks were awarded to all candidates.

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