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Asked by g_archanasharma | 01 Apr, 2019, 09:19: AM
Expert Answer
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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