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Let f(x) be a real valued function not identically zero, such that f ( x y^n ) = f (x) ( f (y) )^n ∀ x, y∈ R where n∈ N ( n≠ 1 ) and f' (0)≥ 0 . We may get an explicit form of the function f(x) .The value of f′(0) f′(0) is :
Let f(x) be a real valued function not identically zero, such that f ( x y^n ) = f (x) ( f (y) )^n ∀ x, y∈ R where n∈ N ( n≠ 1 ) and f' (0)≥ 0 . We may get an explicit form of the function f(x) .The value of f′(0) f′(0) is :
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