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Let f(x) be a real valued function not identically zero satisfies the equation, f(x + y^n ) = f(x) + (f(y))^n for all real x & y and f’(0) = 0 where n (>1) is an odd natural number. Find f(10)

Let f(x) be a real valued function not identically zero satisfies the equation, f(x + y^n ) = f(x) + (f(y))^n for all real x & y and f’(0) = 0 where n (>1) is an odd natural number. Find f(10)

Grade:12th pass

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