What is the period of the function f(x)=-6\sin(3\pi x+4)-2f(x)=−6sin(3πx+4)−2f, left parenthesis, x, right parenthesis, equals, minus, 6, sine, left parenthesis, 3, pi, x, plus, 4, right parenthesis, minus, 2?

Answer 1

geez, repeat yourself much?
Recall that the period of sin(kx) is 2π/k
so, the period of sin(3π x) is 2π/(3π) = 2/3
The phase shift does not affect the period.