33 articles trouvés pour ce sujet.
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Composition of functions |
2019-02-24 |
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Joshua pose la question :
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
p lui répond. |
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The domain of f(g(x)) |
2018-06-18 |
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Joshua pose la question :
What are the restrictions of the domain of f(g(x))?
Penny Nom lui répond. |
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f(x)=-x^2-6x find f(x-2) |
2017-10-27 |
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Kenneth pose la question :
f(x)=-x^2-6x find f(x-2)
Penny Nom lui répond. |
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The composition of a function with itself |
2016-07-17 |
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Mel pose la question :
If f(1 + 3x) = 1 * x, solve f(f(x))
Penny Nom lui répond. |
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A stone is dropped in a lake |
2015-02-14 |
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Wendy pose la question :
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 =
Penny Nom lui répond. |
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The continuity of f(x,y)=ln(x^2+y^2) |
2013-02-17 |
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anu pose la question :
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 .
Harley Weston lui répond. |
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Transposition error |
2012-12-03 |
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Carol pose la question :
What is the correct term for when a child writes 61 instead of 16, or 83 for 38--when they switch the place values of a number?
Chris Fisher lui répond. |
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A function problem |
2012-11-18 |
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nahla pose la question :
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)
Penny Nom lui répond. |
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A proof by contraposition |
2012-10-19 |
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Rahul pose la question :
I am not able to understand the following,
To prove that if for all e>0, |x|0, then |x|>=e. I understand the approach very well but I do not understand why if |x|=e then |x|>=e. If it is so then why not |x|=
Thanks in advance!'
Rahul.
Penny Nom lui répond. |
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Composition of functions and one to one |
2012-10-17 |
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Ariana pose la question :
If f o g are one to one function,does it follow that g is one to one? Give reasons for your answers
Penny Nom lui répond. |
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The position of an aircraft relative to the airport |
2012-06-08 |
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Dennis pose la question :
"Air traffic controllers usually describe the position of an aircraft relative to the airport by altitude, horizontal distance, and bearing. Suppose an aircraft is at altitude 500m, distance 15km, and bearing 35 degrees east of north. What are the x,y, and z components (in meters) of the position vector. The x-axis is east, the y-axis is north and the z-axis is vertical.
Penny Nom lui répond. |
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Limits and composition |
2011-12-30 |
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Rahul pose la question :
I want to know about limit proofs of composite functions. Like limit of log of a function equals log of limit of the function
Penny Nom lui répond. |
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The LCM of 6,15 and x is 90 |
2011-10-30 |
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Richie pose la question :
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
Penny Nom lui répond. |
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Composition of functions |
2011-09-05 |
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Jenna pose la question :
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
Penny Nom lui répond. |
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Composition of two functions |
2008-07-04 |
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Kristian pose la question :
f(x)= the square of x add to 1 and g(x)=1/x
find: (f o g)x
Penny Nom lui répond. |
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Composition of functions: feet, inches and yards |
2008-04-05 |
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Coya pose la question :
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.
Stephen La Rocque lui répond. |
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Composition of functions |
2008-03-07 |
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sharon pose la question :
Find FoG(x)
F(x)= the square root of x-9
G(x)= x^2
and also find GoF and their domains
Penny Nom lui répond. |
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Transformations and compositions |
2007-11-29 |
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mary pose la question :
Is there any possible relationship between composite functions and the concept of function transformations?
Harley Weston lui répond. |
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Motion along a line |
2007-10-02 |
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Claudette pose la question :
If the position function of a particle is x(t) = sin^2(2t), find the distance that the particle travels from t = 0 to t = 2
Harley Weston lui répond. |
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Derivative of a Function |
2007-07-09 |
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Bob pose la question :
What is the derivative of the function a sub n = [n/(n+1)]^n ?
Stephen La Rocque lui répond. |
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The composition of functions |
2007-06-14 |
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Gilligan pose la question :
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
Penny Nom lui répond. |
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Composition functions |
2007-06-12 |
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Gilligan pose la question :
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.
Stephen La Rocque lui répond. |
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Factoring a trinomial |
2007-03-27 |
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Kim pose la question :
Hi, could you please help me solve this.
3x(squared) +20x - 7
Leeanne Boehm lui répond. |
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solve; |
2006-11-28 |
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Monique pose la question :
solve; f(f(x)) = 2x + 4 ; if f(x) = 1
Penny Nom lui répond. |
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Composition of functions |
2006-11-19 |
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RJ pose la question :
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)).
Stephen La Rocque lui répond. |
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Composition of functions |
2006-11-18 |
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Oryan pose la question :
Given f(x)=-2x^3 and g(x)-4x-5, find g(f(-1))
Stephen La Rocque lui répond. |
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A proof by contraposition |
2006-03-16 |
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Eban pose la question :
1)by mathematical induction prove that 12 + 32 + 52 + ...... + (2k-1)2 = (1/3)k(2k-1)(2k+1) for all positive integers k.
2)show that the contrapositive of the following statement is true. if 1 + M7 is even, then M is odd.
Stephen La Rocque lui répond. |
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fog |
2005-11-12 |
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Janice pose la question :
I am having problem with the (fog) function
(fog) (x). Given f(x)= 2x2 ; g(x)= 3-4x
Penny Nom lui répond. |
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Limits and composite functions |
2004-08-07 |
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Sue pose la question :
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
Penny Nom lui répond. |
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Making a square |
2003-09-07 |
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A student pose la question :
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: 80Ý*ÝnÝ=ÝsquareÝnumber, what is the least value of n which will yield a square.
Penny Nom lui répond. |
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Composition of functions |
2002-04-06 |
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Yvonne pose la question :
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?
Claude Tardif lui répond. |
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Composition of functions |
2001-12-16 |
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Paula pose la question :
- if f(x)= 3x-1 and g(x)= 1/2x + 3 find fog(2)
- find the values of x for which tanx=0
Penny Nom lui répond. |
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LOG(LN(x)) = 1 |
2000-07-28 |
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An algebra student pose la question :
LET F(x)=LOG X AND G(x)= LN X. SOLVE (f *G)(x)= 1
SHOW COMPOSITION AND USE DEFINITION OF LOGS.
Harley Weston lui répond. |
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