1. Consider the functions / (x) = = and g(x) = ]. (a) Determine the domains of both f(r) and g(x). (b) Determine the domain of the composite function g(f (z)). 2. Evaluate the following functional values: (a) cos () (b) sin (-47) (c) tan ( 19:) 3. Simplify the express tan (sin '(r)). 3r + 1 4. Determine the inverse of f () = 4-5x 5. Determine the values of a and b such that the curve defined by f(x) = a . be passes through the points (1, 2) and (2, 8). 6. What value(s) of r satisfy the expression e+3-3 = 1? 7. What is the value of I - 312 1+ 32 lim 212 8. What is the value of lim