The domain of definition of the function $f (x) = {\log _{\left[ {x + \frac{1}{x}} \right]}}|{x^2} - x - 6|+ ^{16-x}C_{2x-1} + ^{20-3x}P_{2x-5}$ is
Where $[x]$ denotes greatest integer function.
The domain of definition of the function $f (x) = {\log _{\left[ {x + \frac{1}{x}} \right]}}|{x^2} - x - 6|+ ^{16-x}C_{2x-1} + ^{20-3x}P_{2x-5}$ is
Where $[x]$ denotes greatest integer function.
- A
$\{2\}$
- B
$\left[ {\frac{3}{4},\infty } \right] - \{ 2,\,3\} $
- C
$\{2, 3\}$
- D
$\left( { - \frac{1}{4},\,\infty } \right)$
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- [JEE MAIN 2022]