The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. what are the restrictions on the domain of (u-v)(x)?

For domain to work, we would need to find intersection of two domain sets. Because if one input causes one function to be undefined, then combined function would be undefined too.

So then domain of (u-v)(x) would be the set of all real values except 0 and 2.

Hope this helps.

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.