Question

Fie funcția liniara f:R-R, f (x-2)=4x- f(3) -2. Determinați functia

Answer 1

x=5 => f(3)=4*5-f(3)-2
2*f(3)=18
f(3)=9
f(x-2)=4x-9-2
f(x-2)=4x-11
4x-11=4x-8-3=4(x-2)-3
f(x-2)=4(x-2)-3
x-2=y
f(y)=4y-3