1. Tardigrade
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  3. Mathematics
  4. Let f(x) be a polynomial function such that f(x)+f((1/x))=f(x) ⋅ f((1/x)) and f(3)=82, then the value of f (5), is

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Q. Let $f(x)$ be a polynomial function such that $f(x)+f\left(\frac{1}{x}\right)=f(x) \cdot f\left(\frac{1}{x}\right)$ and $f(3)=82$, then the value of $f (5)$, is

Relations and Functions - Part 2

Solution:

$ f ( x )=1+ x ^4 $
$\therefore f (5)=626 .$