Pourriez vous m aider svp Question : soit f la fonction affine tel que F(x)+f(2-x)=4x : Definir la fonction affine F

f(x) = ax + b
f(2 - x) = 2a - ax + b

on remplace :

ax + b + 2a - ax + b = 4x
2a + 2b = 4x
4x = 2 ( a + b )
2x = a/2 + b/2
x = a/4 + b/4

f(x) = 1/4x + b/4

x/4 + 1/2 = -b/4
x+2/4 = -b/4
x + 2 = -b
-x - 2 = b

f(x) = 1/4x (- x - 2)