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