Composition of function?

Question

Let f be a function whose domain is the set of all real numbers and

which satisfies the equation

x2f(x) + f(1 - x) = 2x - x4:

What is f(0)?

Answer 1

oh my gosh i've been trying to do composition of functions for an exam coming up soon.

SO confusingg!!!

Answer 2

First, let x = 0.  You get 0*2f(0) + f(1) = 2*0 - 4* 0, which implies that f(1) = 0.

Then, let x = 1.  You get 2f(1) + f(0) = 2 - 4

=> 0 + f(0) = -2

=> f(0) = -2