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Quandaries & Queries
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 Topic: compose
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 A stone is dropped in a lake 2015-02-14 From Wendy:Hi, I have problems solving this problem. We didn't exactly go over these kind of problems and the book doesn't have an example either. Thank you for your help! A stone is dropped in a lake, creating a circular ripple that travels outward at a speed of 80 cm/s. (a) Find a function g that models the radius as a function of time t. g(t) = (b) Find a function f that models the area of the circle as a function of the radius r. f(r) = (c) Find f compose g. f compose g =Answered by Penny Nom. Composition functions 2007-06-12 From Gilligan:Find functions f and g so that f(g(x)) = H. (1) H(x) = (1 + x^2)^(3/2) (2) H(x) = int(x^2 + 1) I don't know where to start.Answered by Stephen La Rocque. Composition of functions 2002-04-06 From Yvonne:In our new text book, the following question occurs: State the domain and range of g(f(x))given that f(x) = -x2 - 4 and g(x) = sqrt(x) The range of f(x), x<=-4, is the domain of g(x). BUT, there is no solution in the Real numbers for g(f(x))= sqrt(-x2 - 4). In the solutions it says that this is not a function and therefore does not have a domain or range. Is it a relation? Is it anything? Answered by Claude Tardif.

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