Question

determine o domínio das funções:

y = tg(3x + pi/6)

Answer 1

Resposta:

$x\neq \frac{\pi }{9}+\frac{k\pi }{3} ,k~\in Z$

Explicação passo a passo:

$y=tg(3x+\frac{\pi }{6})\\\\3x+\frac{\pi }{6}\neq \frac{\pi }{2 } +k\pi \\\\3x\neq \frac{\pi }{2} -\frac{\pi }{6} +k\pi \\\\3x\neq \frac{3\pi -\pi }{6}+k\pi \\\\3x\neq \frac{\pi }{3}+k\pi \\\\x\neq \frac{\pi }{9}+\frac{k\pi }{3} ,k~\in Z$