1. Consider the function f(x) = (arccosx)? and g(x) = Vx. (a) Find the domain (largest possible domain) of f and g. (b) Find expression for the function fg, - and their domains (largest possible domain) (c) Find explicit expressions for the functions fog and go f. (d) Given that f is one-to-one on its domain, find the inverse function of f. 2. Find sin(3x) if sina = 3. Evaluate lim Vx2 + 2x - vx2 1+0+ tan(4x) 4. Suppose a and b are constants. Let r sin + bcos(r) if x > 0, f(x) = 0 if r = 0, I + a if r