1.
ОДЗ: {2x+1≥0
{x²-4≠0
2x+1≥0
2x≥ -1
x≥ -0.5
x²-4≠0
x≠2
x≠ -2
\\\\\\\\\\ \\\\\\\\\\\\\\\\\
------- -2 ----------- -0.5 ------------ 2 ---------------
x∈[-0.5; 2)U(2; +∞)
D(y)=[-0.5; 2)U(2; +∞)
2.
cos(360°*3+60°)-tg(540°-45°)=cos60°+tg45°=¹/₂ + 1=1.5
3.
f(-x)=(3(-x)²) / sin(-x) = - [3x²/sinx]
Так как f(-x)= -f(x), то функция нечетная.
5.
{-x≥0
{x+4≥0
{sinx≠0
-x≥0
x≤0
x+4≥0
x≥ -4
sinx≠0
x≠πk, k∈Z
при k=0 x≠0
при k= -1 x≠ -π≈ -3.14
x≠0
x∈[-4; -π)U(-π;0)
D(y)=[-4; -π)U(-π; 0)