Hey guys the sin is just throwing me out here and I am not to confident with inverse functions

Thanks for any help

Let f (v) = sin v, and g(v) = 1/(2v−1) .

(a) Find g ◦ f and state the domain and range.

(b) Is g(v) one-to-one? Find g−1 (v), the inverse function of g(v), and state the domain and range.