. If f and g are: Mm) = |2x+3| +32, x) = 3:2: 5 (a) Find h o f (b) Find f o h. Simplify your results as much as possible. . Consider the function in whose domain is the interval [3,3], with h dened on this domain by the formula M3) = (3 + .13)2 Does It have an inverse? If so, nd it, along with its DOMAIN and RANGE. If not, explain why not. . Given the function x) = 51:2 + 2$+1 (a) Write f (3:) in 'vertex form' 11(3; h)2 + k (b) Find the value of :I: where f(:L') attains its minimum or its maximum value. (c) Sketch the graph of f on an interval of length 2 centered at the number where f attains its minimum or maximum value. (d) Find the vertex of the graph of f . Find a number :5 such that a: + 1 _ :1: 2 . Find a polynomial p such that p(1) = 0, p(4) = 0, and p(2) = 3 33