6. (7 marks) (a) Let f be defined on [3,45] with f(3) = 50 and f(45) = 2. If f is continuous on the interval (3,45), is it true that there must be some number c 6 (3,45) such that f(c) = 10? If you believe it is true. justify your reasoning. Ifyou believe it is false, show it with an example. 2 h, 2 (b) Let g be some function such that 9(2) = 1 and 1}th = 6. Find the value of liinzgw). Please _> .13 justify all your reasoning