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asked ago in Mathematics by (53.5k points)
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Let f(x2 + y) = (f(x)) 2 + f(y) for all x, y  R, then

(A) f(x) is odd

(B) f(x) is even  f(x) = 0  x  R

(C) f(x) is continuous at x = 0  it is continuous everywhere

(D) f(x) is differentiable at x = 0  f(x) = x f '(0),  x  R

1 Answer

+1 vote
answered ago by (20.7k points)
selected ago by
 
Best answer

Correct option (A)(B)(C)(D)

Explanation:

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