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If f(x) is an even function and g(x) is ...

If `f(x)` is an even function and `g(x)` is an odd function and satisfies the relation `x^(2)f(x)-2f(1/x) = g(x)` then

A

`f(x)=0, AA x in R`

B

`f(2009)=0`

C

f is constant function

D

`g(x)=0, AA x in R`

Text Solution

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The correct Answer is:
A, B, C
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