Question

se considera functia f:r -> R, f(x) = x la puterea 2 + a la puterea 2, unde a este nr real. determinati nr reale a, pt care f(1) = 2

Answer 1

f(x)=x²+a²

f(1)=2

f(1)=1²+a² }

f(1)² } => 1²+a²=2<=>1+a²=2<=>

<=>a²=2-1<=>a²=1<=>

<=>a=√1<=>a=1

Verificare:f(1)=1²+1²=2

f(1)=1+1=2<=>2=2(A) :D