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 ðœ‹ while your friend Patrickâ€™s is âˆš3 and Karenâ€™s is sin60Â°. There are two moving companies, ð‘“ and ð‘”. Those companies move people along Infinite Drive from address ð‘¥ to new addresses ð‘“(ð‘¥) or ð‘”(ð‘¥), depending on which company people choose. Assume that the functions ð‘“(ð‘¥) = 1 âˆ’ ð‘¥ and ð‘”(ð‘¥) = 1 ð‘¥ describe how the moving companies move people from one address to another. a. Find ð‘“(ð‘”(ð‘¥)) and ð‘”(ð‘“(ð‘¥)). b. Evaluate your answers from a for ð‘¥ = ðœ‹, your address. c. Evaluate your answers from a for ð‘¥ = 0, your parentsâ€™ address. Explain the significance of this answer. 2. Now assume that the moving companies are described by the functions ð‘“(ð‘¥) = 5ð‘¥ and ð‘”(ð‘¥) = 1 ð‘¥ . a. Find ð‘“(ð‘”(ð‘¥)) and ð‘”(ð‘“(ð‘¥)). b. Evaluate your answers from a for ð‘¥ = ðœ‹, your address. 3. Notice that the functions in Part 1 have the property that ð‘“ = ð‘“âˆ’1 and ð‘” = ð‘”âˆ’1. That is, the inverse of ð‘“ is equal to itself and the inverse of ð‘” is also equal to itself. Take the composition of each function with itself to show that this is true. Remember, if the function â„Ž(ð‘¥) is equal to its own inverse, then â„Ž âˆ˜ â„Žâˆ’1 = ð‘¥.