The domain of the function f(x)=log(x(x+1)(x+2)(x+3))f(x)=\log\bigl(x(x+1)(x+2)(x+3)\bigr)f(x)=log(x(x+1)(x+2)(x+3)) is A(−∞,0]∪[1,2]∪[3,∞)(-\infty,0]\cup[1,2]\cup[3,\infty)(−∞,0]∪[1,2]∪[3,∞)B(0,∞)(0,\infty)(0,∞)C(−∞,−3]∪[−2,−1]∪[0,∞)(-\infty,-3]\cup[-2,-1]\cup[0,\infty)(−∞,−3]∪[−2,−1]∪[0,∞)D(−∞,−3)∪(−2,−1)∪(0,∞)(-\infty,-3)\cup(-2,-1)\cup(0,\infty)(−∞,−3)∪(−2,−1)∪(0,∞)