Question

Se considera functia f(x) = px+q. Determinati numerele p si q stiind ca f(1) = 1 si f(2) = -1
Repedee va roog :3

Answer 1

f(1)=1 => x=1 => p+q=1
f(2)=-1 => x=2 =>2p+q=-1 (facem sistem si amplificam prima relatie cu -1)
=> -p-q=-1 si 2p+q=-1 (adunam rel ) => p=-2 (inlocuim in prima rel) =>-2+q=1 => q=3