Use the table to evaluate the expression. x 1 2 3 4 5 6
f(x) 2 3 5 1 6 3
g(x) 3 5 1 2 4 6

g(f(2))

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.