Let f be a function such that f(x+f(y)) ...

Let f be a function such that `f(x+f(y)) = f(x) + y, AA x, y in R`, then find f(0). If it is given that there exists a positive real `delta` such that f(h) = h for `0 lt h lt delta`, then find f'(x)

A

0, 1

B

`-1, 0`

C

2, 1

D

`-2, 0`

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The correct Answer is:

A

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