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Functions question

2021 · 24 Feb · Shift 2 · Q37

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JEE Main
Mathematics
Functions
2021 · 24 Feb · Shift 2 · Q37

Functions question

2021 · 24 Feb · Shift 2 · Q37

JEE MainMathematicsFunctionsNumerical+4 / −1

If a +

\alpha

= 1, b +

\beta

= 2 and

af(x) + \alpha f\left( {{1 \over x}} \right) = bx + {\beta \over x},x e 0

, then the value of the expression

{{f(x) + f\left( {{1 \over x}} \right)} \over {x + {1 \over x}}}

is

\underline{\hspace{2cm}}

.

Numerical answer

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