1. Consider these three one-to-one functions: CO ege 20 f : [-1, 1] - R defined by f(t) = arcsin(t), llege 20 Monash Monash 20219:7-?' - 2 \\ {0} - R defined by g(t) = tan(t), h : A - R defined by h = go f, sh C College 2 where A is the maximal domain given by these definitions. (a) Determine A. 2021 O (b) Determine an algebraic expression for h(t). (Hint: Consider the unit circle.) (c) Determine an expression for h-(t), and state the domain and range of h-1