Suppose that f(x) is a function such that 3f(x) + 2f(1-x) = 2x + 9 for every real number x. What is the value of f(2)? Could someone explain how to do this?, i get how to do compostions but i dont get this.
I dont really get it and thats what i really want to know, not just the answer. I dont understand your logic because you did nothing with the coefficients of the functions, it would have been the same without them. Could you or someone else show me a step by step or give an good explanation? thanks
Hello, jarny!
ThePerfectHacker came up with an elegant solution . . .
Suppose that is a function such that:
for every real number .What is the value of ?
We are told that: . . for all values of
. So it must be true for
And it must be true for
We have a system of equations: .
Now solve for