7. Let f : (0, 20] → R be given by f(x) = x² – x – 2, and let g : [1, 50] → R be given by 1 g(x) 1 10 (a) Find the rule for the function (b) Find the domain for the function

1. Given f(x) is a one-to-one function with Df: [4,25] U (42,100] and Rf: (-, -14], find the domain and range of f(x).

=, and g(x) = 4 – x² define (fo9(x) the domain of the three functions, f, g and f composite g. 3. Let f (x) = 2 X-3

The function fhas a domain of [0,4] and a range of [0,2]. a. Suppose the function g is defined as g(x) = 2f(x). Determine the domain and range of g. b. Suppose the function j is defined as j(x) = -f(x). Determine the domain and range of j. c. Suppose the function k is defined as k(x) = f(x – 4). Determine the domain and range of k.