Originally Posted by

**stacey** **Given f(x) = sin(x) , g(x) = 1/x , h(x) = |x|, state h(g(f(x)))?**

So I'm able to do the first two steps

f(g(sinx))

f(1/sin)

But I'm not sure what the last step does. Normally something enclosed inside ||, such as |x| means the magnitude of x, right? So what does that operator mean in the context of this problem? How does y=1/sinx differ from y=|1/sinx|? Obviously, this can be written as y=|csc|.

b) Describe what each composition does in the order that it is applied. Again, I'm fine until the last function, where I don't know what the operator does.

c) sketch the curve. My curve looks like a csc function, is this correct? Please help