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Math 49 Spring 2022 - Final Exam 5. (10pts) Simplify the following expressions: a) (-5t) (3+1) Sa. b) 3x-6 5x2-24 Sb. () (Wx' ) (xz . y ! ) 5c. d) Circle which of the following represents the necessary restrictions on x and y for the expression given in part c) above to be a real number. i) x > 0 and y > 0 ii) x 2 0 and y 2 0 iii) x # 0 and y # 0 i) x > 0 and y # 0 ii) x # 0 and y > 0 iv) no restrictions necessary Math 49 Spring 2022 - Final Exam 6. Consider the functions f (x) = = + 7 and g(x) = 27 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 f(x): Range f(x): Domain g(x): Range g (x)