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Asked by g_archanasharma | 01 Apr, 2019, 09:19: AM
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Given condition for f(x) :-   f(x) f(1/x) = f(x)+f(1/x) .....................(1)
 
function that satisfies the above condition : f(x) = xn + 1  ..........................(2)
where n is a positive integer.
 
( user can verify f(x) as given in (2) satisfies the condition as given in (1) )
 
since we are given f(10) = 1001,  we have  f(x) = x3 + 1
 
hence f(20) = (20)3 + 1 = 8001
Answered by Thiyagarajan K | 01 Apr, 2019, 11:58: AM

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