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Ajutati-ma Va rog :o3     f:R -> R , f(x)= px + q      p , q apartin numerelor reale

Determinati nr reale p si q , stiind ca f(1) = 1 si f(2)= -1 


Răspuns :

p+q=1
2p+q=-1
faci sistem
p=1-g
2(1-q)=-1
2-2g=-1
-2q=-3
q=2/3
p=1-2/3
f(1)=1 =>x=1=>p1+q=1=> p+q=1
f(2)=-1=>x=2=>p2+q=-1=>2p+q=-1
p+q=1       /(-1)
2p+q=-1

 -p-q=-1
2p+q=-1
p    /=-2 ∈ R
p+q=1=>-2+q=1=>q=1+2=>q=3∈ R