28 items are filed under this topic.
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Composition of functions |
2019-02-24 |
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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+6
Answered by p. |
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The domain of f(g(x)) |
2018-06-18 |
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From Joshua:
What are the restrictions of the domain of f(g(x))?
Answered by Penny Nom. |
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f(x)=-x^2-6x find f(x-2) |
2017-10-27 |
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From Kenneth:
f(x)=-x^2-6x find f(x-2)
Answered by Penny Nom. |
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The composition of a function with itself |
2016-07-17 |
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From Mel:
If f(1 + 3x) = 1 * x, solve f(f(x))
Answered by Penny Nom. |
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A stone is dropped in a lake |
2015-02-14 |
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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. |
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The continuity of f(x,y)=ln(x^2+y^2) |
2013-02-17 |
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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. |
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A function problem |
2012-11-18 |
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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. |
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Composition of functions and one to one |
2012-10-17 |
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From Ariana:
If f o g are one to one function,does it follow that g is one to one? Give reasons for your answers
Answered by Penny Nom. |
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Limits and composition |
2011-12-30 |
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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 function
Answered by Penny Nom. |
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The LCM of 6,15 and x is 90 |
2011-10-30 |
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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,
Richie
Answered by Penny Nom. |
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Composition of functions |
2011-09-05 |
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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,
Jenna
Answered by Penny Nom. |
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Composition of two functions |
2008-07-04 |
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From Kristian:
f(x)= the square of x add to 1 and g(x)=1/x
find: (f o g)x
Answered by Penny Nom. |
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Composition of functions: feet, inches and yards |
2008-04-05 |
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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. |
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Composition of functions |
2008-03-07 |
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From sharon:
Find FoG(x)
F(x)= the square root of x-9
G(x)= x^2
and also find GoF and their domains
Answered by Penny Nom. |
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Transformations and compositions |
2007-11-29 |
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From mary:
Is there any possible relationship between composite functions and the concept of function transformations?
Answered by Harley Weston. |
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Derivative of a Function |
2007-07-09 |
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From Bob:
What is the derivative of the function a sub n = [n/(n+1)]^n ?
Answered by Stephen La Rocque. |
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The composition of functions |
2007-06-14 |
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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}) + 1
Answered by Penny Nom. |
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Composition functions |
2007-06-12 |
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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. |
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Factoring a trinomial |
2007-03-27 |
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From Kim:
Hi, could you please help me solve this.
3x(squared) +20x - 7
Answered by Leeanne Boehm. |
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solve; |
2006-11-28 |
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From Monique:
solve; f(f(x)) = 2x + 4 ; if f(x) = 1
Answered by Penny Nom. |
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Composition of functions |
2006-11-19 |
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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. |
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Composition of functions |
2006-11-18 |
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From Oryan:
Given f(x)=-2x^3 and g(x)-4x-5, find g(f(-1))
Answered by Stephen La Rocque. |
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fog |
2005-11-12 |
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From Janice:
I am having problem with the (fog) function
(fog) (x). Given f(x)= 2x2 ; g(x)= 3-4x
Answered by Penny Nom. |
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Limits and composite functions |
2004-08-07 |
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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.
--Sue
Answered by Penny Nom. |
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Making a square |
2003-09-07 |
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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. |
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Composition of functions |
2002-04-06 |
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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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Composition of functions |
2001-12-16 |
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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. |
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LOG(LN(x)) = 1 |
2000-07-28 |
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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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