November 15th, 2018, 05:41 AM  #1 
Newbie Joined: Nov 2018 From: Virginia Posts: 1 Thanks: 0  Math help ASAP
I have been having trouble with htis problem for a while, nad my teacher won't give me any feedback on the problem. This is a huge part of my grade so it is important, and I wondering if I could receive help? Here is the problem: Imagine that you live on an infinitely long and straight street called Infinite Drive. The addresses on Infinite Drive are given by real numbers. Your address on the street is π while your friend Patrickβs is β3 and Karenβs is sin60Β°. There are two moving companies, π and π. Those companies move people along Infinite Drive from address π₯ to new addresses π(π₯) or π(π₯), depending on which company people choose. Assume that the functions π(π₯) = 1 β π₯ and π(π₯) = 1 π₯ describe how the moving companies move people from one address to another. a. Find π(π(π₯)) and π(π(π₯)). b. Evaluate your answers from a for π₯ = π, your address. c. Evaluate your answers from a for π₯ = 0, your parentsβ address. Explain the significance of this answer. 2. Now assume that the moving companies are described by the functions π(π₯) = 5π₯ and π(π₯) = 1 π₯ . a. Find π(π(π₯)) and π(π(π₯)). b. Evaluate your answers from a for π₯ = π, your address. 3. Notice that the functions in Part 1 have the property that π = πβ1 and π = πβ1. That is, the inverse of π is equal to itself and the inverse of π is also equal to itself. Take the composition of each function with itself to show that this is true. Remember, if the function β(π₯) is equal to its own inverse, then β β ββ1 = π₯. 
November 16th, 2018, 12:41 AM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,324 Thanks: 1233 
I don't think your specification for $g(x)$ came through correctly. It would help if you split things into paragraphs as well. 
November 16th, 2018, 07:14 AM  #3  
Senior Member Joined: Sep 2016 From: USA Posts: 563 Thanks: 326 Math Focus: Dynamical systems, analytic function theory, numerics  Quote:
This problem requires me to spend some time thinking about things and I'm unwilling to do that. My teacher wouldn't give me the answer so I hope someone here will. Is that about right?  
November 16th, 2018, 08:11 AM  #4 
Math Team Joined: Oct 2011 From: Ottawa Ontario, Canada Posts: 13,986 Thanks: 995  

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