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

Let `f` be a function such that `f(x+y)=f(x)+f(y)` for all `xa n dya n df(x)=(2x^2+3x)g(x)` for all`x ,` where `g(x)` is continuous and `g(0)=3.` Then find `f^(prime)(x)dot`

A

6

B

9

C

8

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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