MCQMediumJEE Main 2023 · 13 April, Shift 1Functions

Mathematics Question from JEE Main 2023 · 13 April, Shift 1

For the differentiable function f:R{0}Rf: \mathbb{R} - \{0\} \rightarrow \mathbb{R}, let 3f(x)+2f(1x)=1x103f(x) + 2f\left(\frac{1}{x}\right) = \frac{1}{x} - 10. Then f(3)+f(14)\left| f(3) + f'\left(\frac{1}{4}\right) \right| is equal to:

  • A

    1313

  • B

    295\frac{29}{5}

  • C

    335\frac{33}{5}

  • D

    77

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