Question

The function f(x) is an even function and satisfies x²f(x)-2f(1/x)=g(x) where g(x) is an odd function.The value of f(5) is

(a)-2         (b)4                       (c)0                     (d)depends on g(x)                (e)NOT 

Answer 1

The answer will be (c) i.e F(5)=0

...g(x) and x² are odd and even function respectively.

So, f(x) is an odd function . But f(x) is given even.

f(x)=0∀x , 

Hence f(5)=0