Question

F:R -> R, F (X) = x la a doua -5x Calculati F (1) * F (2) ;...; f(7)

Answer 1

Observam ca ecuatia f(x)=0 are doua solutii reale:

f(x)=0

x^2-5x=0

x(x-5)=0

x1=0

x-5=0 => x2=5

Deci tragem concluzia ca f(0)=f(5)=0.

Factorul f(5) se gaseste in acel produs:

P=f(1)*f(2)*....*f(5)*..*f(7)=f(1)*f(2)*....*0*..*f(7)=0