Question

Determinar o domínio da funçao f(x)=cotg(3x-pi/3)

Answer 1

Oi Salayne

f(x) = cotg(3x - pi/3)

cotg(3x - pi/3) = cos(3x - pi/3)/(sen(3x - pi/3)

(sen(3x - pi/3) = sen(0) 
3x - pi/3 = 0
9x - pi = 0
x = pi/9 

(sen(3x - pi/3) = sen(pi) 

3x - pi/3 = pi
3x = 4pi/3
x = 4pi/9 

DF = {x E R : 9x > 3kpi + pi e 9x < pi*(3k+4)}

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