1. Find the domain and range of the function. Then find the inverse function of the following functions: (3) f(x) = 3x 5 (b) 9(X) = 262* (c) h(x) = cos(2x) Page 1 of 3 Math 21A Worksheet 1 2. Let f(x) : 3x2 2 and g(x) : x2. Determine the following functions: (a) {(X) + 9(X) (b) 1'(X) - 9(X) (C) {(900) (d) QUM) 3. Find the average rate of change of the functions over the given intervals (a) {(x) = 2x3 7 2 for [0.1] and [34]. (b) g(9) : cos(29) for [Om/2] and [1r/6,7r/2]r (c) h(t) : i/3t2 7 1 for [1.21