[tex]E=\sqrt{x^3+3x^2+2x}\\
\text{Radicalul(de ordin par)este de.finit daca ceaa ce se afla sub el este}\geq 0\\
\text{Deci avem ca:}\\
x^3+3x^2+2x\geq 0\\
x(x^2+3x+2)\geq 0\\
x(x^2+2x+x+2)\geq 0\\
x(x+1)(x+2)\geq 0\\
\text{Facem tabel de semn.}
[/tex]
[tex]x~~~~~~|-\infty ~- ~~ -3~-~~-2~-~~~~0~~~~~~~+~~~~~~~~~~~~~~~~~~\infty \\
^{------------------------------------------------}\\
x+2~|~~~~~~~~~~-~~~~~~~~~~~~~~0~~~~~~~~~~~~~~~~~+~~~~~~~ \\
^{-----------------------------------------------}\\
x+3~| ~~~~~-~~~~~~~~0~~~~~~~~~~~~~~~~~~~+\\
^{-----------------------------------------------}\\
E(x)~| ~~~~~~-~~~~~~~0~~~+~~~0~~~-~~~0~~~~~~~~~~~~~+\\
^{-----------------------------------------------}\\
Deci\ x\in[-3,-2]\cup [0,\infty]
[/tex]
