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Let f: R->R satisfying f((x+y)/k)=(f(...

Let `f: R->R` satisfying `f((x+y)/k)=(f(x)+f(y))/k( k != 0,2)`.Let `f(x)` be differentiable on `R and f'(0) = a`, then determine `f(x)`.

A

A. even function

B

B. neither even nor odd function

C

C. either zero or odd function

D

D. either zero or even function

Text Solution

Verified by Experts

The correct Answer is:
C
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