se da functia f:R-R, f(x)=3-x a) verificati daca f(2) x f(3)=f(2x3)

Răspuns :

[tex]f(2) = 3 - 2 = 1[/tex]

[tex]f(3) = 3 - 3 = 0[/tex]

[tex]f(2 \times 3) = f(6) = 3 - 6 = - 3[/tex]

[tex]1 \times 0 = - 3[/tex]

[tex]0 = - 3 \: (F)[/tex]

[tex]f(2) \times f(3) \neq \: f(2 \times 3)[/tex]
f(2)=3-2=1
f(3)=3-3=0
f(2x3)=f(6)=3-6= - 3
f(2)
xf(3)=f(6)
0≠ - 3