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 Topic: composition
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 Composition of functions 2019-02-24 From Joshua:Let g(x)=(x)^(2)+x-1 Find such a function f such that (fog)(x)=(x)^(4)+2(x)^(3)-3(x)^(2)-4x+6Answered by p. The domain of f(g(x)) 2018-06-18 From Joshua:What are the restrictions of the domain of f(g(x))?Answered by Penny Nom. f(x)=-x^2-6x find f(x-2) 2017-10-27 From Kenneth:f(x)=-x^2-6x find f(x-2)Answered by Penny Nom. The composition of a function with itself 2016-07-17 From Mel:If f(1 + 3x) = 1 * x, solve f(f(x))Answered by Penny Nom. 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. The continuity of f(x,y)=ln(x^2+y^2) 2013-02-17 From anu:the question says we have to find the points in the plane where the function is continuous: f(x,y)=ln(x^2+y^2) . here we aren't given a particular point (x,y) where we have to check a function's continuity. what is to be done if we have to check continuity over the whole domain of the function? please help .Answered by Harley Weston. A function problem 2012-11-18 From nahla:f: IN --> IN n --> f(n) for every n that belongs the IN : fof(x) = 4n - 3 and for every n that belongs to IN f(2^n) = 2^(n+1) -1 Calculate f(993)Answered by Penny Nom. Composition of functions and one to one 2012-10-17 From Ariana:If f o g are one to one function,does it follow that g is one to one? Give reasons for your answersAnswered by Penny Nom. Limits and composition 2011-12-30 From Rahul:I want to know about limit proofs of composite functions. Like limit of log of a function equals log of limit of the functionAnswered by Penny Nom. The LCM of 6,15 and x is 90 2011-10-30 From Richie:Hi there, There are 2 parts to the question. #1. Factorise 90. This is easy, 90=2x3x3x5 #2 LCM of 6,15 and x is 90. What are possible values of x if x is odd? From #1, since 90=6x15, how can this be used to work out possible values of x? Thanks in advance, RichieAnswered by Penny Nom. Composition of functions 2011-09-05 From Jenna:Let f(x)=x^2-1 and g(x)=1-2x. Find the indicated values. 1. f(g(1)) and g(f(1)) Thanks, JennaAnswered by Penny Nom. Composition of two functions 2008-07-04 From Kristian:f(x)= the square of x add to 1 and g(x)=1/x find: (f o g)xAnswered by Penny Nom. Composition of functions: feet, inches and yards 2008-04-05 From Coya:write a function f(x) that converts feet to inches.Now write a function g(x) that converts yards to feet. Explain what the composite function f(g(x)) means. Then evaluate f(g(x)) for x = 3,6, and 9.Answered by Stephen La Rocque. Composition of functions 2008-03-07 From sharon:Find FoG(x) F(x)= the square root of x-9 G(x)= x^2 and also find GoF and their domainsAnswered by Penny Nom. Transformations and compositions 2007-11-29 From mary:Is there any possible relationship between composite functions and the concept of function transformations?Answered by Harley Weston. Derivative of a Function 2007-07-09 From Bob:What is the derivative of the function a sub n = [n/(n+1)]^n ?Answered by Stephen La Rocque. The composition of functions 2007-06-14 From Gilligan:Question from Gilligan, a student: Let f(x) = x^2, g(x) = 3x and h(x) = (sqrt{x}) + 1. Express each function as a composite of f, g and/or h. (1) p(x) = 3(sqrt{x}) + 3 (2) Q(x) = (sqrt(sqrt{x}) + 1}) + 1Answered 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. Factoring a trinomial 2007-03-27 From Kim:Hi, could you please help me solve this. 3x(squared) +20x - 7Answered by Leeanne Boehm. solve; 2006-11-28 From Monique:solve; f(f(x)) = 2x + 4 ; if f(x) = 1Answered by Penny Nom. Composition of functions 2006-11-19 From RJ:Let f0(x) = 2/2-x and fn+1 = f0 o fn for n greater than or equal to 0. Find a formula for fn and prove it by mathematical induction. Recall that o represents function composition. i.e., (f o g)(x) = f(g(x)).Answered by Stephen La Rocque. Composition of functions 2006-11-18 From Oryan:Given f(x)=-2x^3 and g(x)-4x-5, find g(f(-1))Answered by Stephen La Rocque. fog 2005-11-12 From Janice:I am having problem with the (fog) function (fog) (x). Given f(x)= 2x2 ; g(x)= 3-4xAnswered by Penny Nom. Limits and composite functions 2004-08-07 From Sue:I have two questions, one about a limit and the other about a composite function. If you could help me, I'd really appreciate it. 1. Find the limit: lim[x->0] (x*csc(x)) I converted csc(x) to cos(x)/sin(x), but I didn't know what to do after that. 2. f(g(x)) = ln(x^2 + 4), f(x) = ln(x^2) and g(x) > 0 for all real x, find g(x): I'm having trouble with this one because x^2 + 4 isn't a perfect square. --SueAnswered by Penny Nom. Making a square 2003-09-07 From A student:if I am given any number (say 80 for example), how may I determine the smallest whole number integer which when multipled by it will yield a square number ? In other words if I express this as: 80İ*İnİ=İsquareİnumber, what is the least value of n which will yield a square.Answered by Penny Nom. 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. Composition of functions 2001-12-16 From Paula: if f(x)= 3x-1 and g(x)= 1/2x + 3 find fog(2) find the values of x for which tanx=0 Answered by Penny Nom. LOG(LN(x)) = 1 2000-07-28 From An algebra student:LET F(x)=LOG X AND G(x)= LN X. SOLVE (f *G)(x)= 1 SHOW COMPOSITION AND USE DEFINITION OF LOGS. Answered by Harley Weston.

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