3.5 (Version A) Math 112 Section: +3 Instructor's name: 1. Suppose () = 2 45 and () = 2 . Algebraically determine the domain of Main Algebraic Solution: Name: () () . Check Your Solution: Section 3.5 (Version A) 2. If () = 2 + 1 Instructor's name: Name: , find possible functions and so that () = ( )(). Do not use () = or () = . +4 Main Algebraic Solution: . Math 112 Section: Check Your Solution: Section 3.6 (Version A) Math 112 Section: Instructor's name: 7 Name: 1. Given the function () = 2+3, find the inverse function 1 (). Determine the domain and range of () and 1 (). Main Algebraic Solution: Check Your Solution: Section 3.6 (Version A) Math 112 Section: Instructor's name: Name: 2. A sunglass manufacturer finds that consumer demand of a certain line of sunglasses varies based on price. Market studies predict the relationship is approximated by the graph of = () given below, where q represents the quantity of sunglasses sold in thousands and p represents the price in dollars. Sketch a graph of the inverse function. Find and interpret the real-life meaning of 1 (40). Check Your Solution: Main Algebraic Solution: $50 Price per pair ($) $40 $30 $20 $10 $0 0 10 20 30 40 50 Quantity Sold (thousands of sunglasses)