Given f(x)=2x^2−5x−3 and g(x)=2x^2+x .

What is (fg)(x) ?

x−2/x−3 where x≠0, −3/2

x−3/x where x≠0, −1/2

x/x−3 where x≠0, 3

−2x−3/x where x≠0, −1/2

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.