Question

Fie funtia f:R-R , f(x) = x-3 .Sa se determine f(-4)*f(-3)*.....*f(3)*f(4)

Answer 1

f(3)=3-3=0
f(-4)*f(-3)*.....*0*f(4)=0

Answer 2

$f(x) = x-3 \\ (-4)*f(-3)*...*f(3)*f(4)=? \\ \\ f(-4)=-4-3=-7 \\ f(-3)=-3-3=-6 \\ f(-2)=-2-3=-5 \\ f(-1)=-1-3=-4 \\ f(0)=0-3=-3 \\ f(1)=1-3=-2\\f(2)=2-3=-1 \\ f(3)=3-3=0 \\f(4)=4-3=1 \\ \\\texttt{Avem un termen 0, deci si produsul va fi 0.}$