Question

Calculate `f(2)`, knowing that with any `x≠0` the correct equality `f(x)+3f(1x)=x^2` ??

Answer 1

The answer is `f(2)=1`.

Explanation:

First and foremost, it is imperative to note that `f(1x)=f(x)`. With this in mind, `f(x)+3f(x)=x^2` can be simplified as follows:
`f(x)+3f(x)=x^2`
`4f(x)=x^2`
`f(x)=(x^2)/4`

From here, substitute 2 wherever you have x:
`f(2)=(2)^2/4=1`.