OWL : MATH > * Online Pytho x OWL : COMP X csd.uwo.ca/~ x Calc1000AFV X Messenger X 4 Quizzes - Go X 4 Shared with I X + X C Adobe Acrobat: PDF edit, convert, sign tools | chrome-extension://efaidnbmnnnibpcajpcglclefindmkaj/https://owl.uwo.ca/access/lessonbuilder/item/187658... All Bookmarks 88 Tools Wowluwo.ca / Calc100.AFW23HW1 10 Q L G Open on desktop . .. Share Sign in 1. (6 marks) Forg(?) = In(1 - x?) and f(@) = va +3, determine the subset of the domain of g on which the composition fog is well-defined. What is the domain of go f? Find formulas for (fog)(x) and (go f)(2). 2. (4 marks) Sketch a graph of f(@) = -?(x-2)2-3 by using a sequence of transformations of a well-known function. For full points, make sure to describe the various transformations applied to the well-known starting function. 3. (4 marks) Once activated, a population of self-replicating nano-bots is known to triple every four hours. Suppose that there are initially 50 nano-bots. AL (a) (1 mark) What is the size of the population after 12 hours? (b) (2 marks) Use an exponential function C(t) = Coertto represent the population after t hours, and solve for Co and r. (c) (1 marks) Estimate the size of the population after 33 hours. Your answer should be given in the 1 most exact representation (i.e., not a decimal). 4. (4 marks) Find the exact value of each >