I really need help with my final if you can please show all work and has to be all handwritten thank you take your time

Math 49 Spring 2022 - Final Exam 6. Consider the functions / (x) = =+ 7 and g(x) = -7. a) (3pts) Show that f (x) and g(x) are inverses of each other by using composition. b) (4pts) Find the domain and range of f(x) and g(x). Give your answers in interval notation. Domain / (x): Range / (x): Domain g(x): Range g (x): Math 49 Spring 2022 - Final Exam 7. (7pts) Find the solution set to the following equations. a) 924 = 27x41 Ta. b) vx+7 =x+5 Th. Math 49 Spring 2022 - Final Exam 8. (6pts) Jance is buying candy to take to the movies with a friend. Her friend is very picky and always gets a specific mixture of Reese's peanut butter cups and gummy bears. Jance remembers that the last time they went to the movies her friend bought 15 ounces of candy and paid $9-00. If Reese's cost 75 cents per ounce and gummy bears cost 50 cents per ounce, how much of each candy should Janee purchase for her friend? (Remember to define all variables and give your answer in a complete sentence with appropriate units.)