Hey guys!

I have 2 equations:

f(x) = sin x

g(x) = x^2 - x + 1

The question asks to find fg(x) and f/g(x) (and domain/range for each)

for fg(x) i got:

fg(x) = sin x^3 - sin x^2 + sin x

how would i find the domain and range for this?

and for f/g(x) i got:

f/g(x) = (sin x) / (x^2 - x + 1)

I don't think that can be reduced anymore, but correct me if i'm wrong. And I need help finding the domain and range for this equation too.