If f ( x ) f ( x 1 ) = f ( x ) + f ( x 1 ) ∀ x ∈ R − { 0 } , where f(x) be a polynomial function and f(5) = 126, then f ( 3 ) =

Question

If f ( x ) f ( x 1 ​ ) = f ( x ) + f ( x 1 ​ ) ∀ x ∈ R − { 0 } , where f(x) be a polynomial function and f(5) = 126, then f ( 3 ) =

TestHub · Accepted Answer

f ( x ) = 1 ± x n or f ( 5 ) = 1 ± 5 n ​ or , 126 = 1 ± 5 n or ± 5 n = 125 ⇒ ± 5 n = 5 3 n = 3 f ( 3 ) = 1 + 3 3 = 28 ​

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