The function f is not defined for x = 0, but for all non zero real numbers x, The equation is satisfied by

JEE MainMathematicsModerateFunctions

The function f is not defined for x = 0, but for all non zero
real numbers x, $f(x) + 2f(\frac{1}{x}) = 3x$
The equation $f(x) = f( - x)$ is satisfied by

Show answer and solution

f(x) = \frac{2}{x} - x \Rightarrow f(x) = f( - x)

\Rightarrow \frac{2}{x} - x = \frac{- 2}{x} + x \Rightarrow x = \pm \sqrt{2}

Source: Grass-G / M-17 Mathematics Paper 26 Nov Second.docx

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