Consider the function g(x) shown below over a domain of [1,∞). g(x) = 2(x – 1)2 – 3

Part A
Determine g–1(x).

Part B
Identify the domain and range of g(x) and g–1(x). Represent the domains and ranges in inequality, interval, and set notation. Describe the relationship between the domains and ranges of g(x) and g–1(x).

Part C
Graph g(x) and g–1(x). Describe the relationship between the graphs of g(x) and g–1(x).