Question

Найти область определения
f(x) = 1 sin(3x-2)
f(x) = √cosx

Answer 1

$f(x) = frac{1}{sin(3x-2)}\ sin(3x-2) neq 0\ 3x-2 neq pi n\ 3x neq 2+pi n\ x neq frac{2}{3} + frac{pi n}{3}$


$f(x) = sqrt{cos x}\ cos x geq 0\ x in [-frac{pi}{2}+2pi n;frac{pi}{2}+2pi n]$