13 items are filed under this topic.
|
|
|
|
|
|
|
|
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+6 Answered 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. |
|
|
|
|
|
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. |
|
|
|
|
|
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 answers Answered 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,
Jenna Answered by Penny Nom. |
|
|
|
|
|
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. |
|
|
|
|
|
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)= 3-4x 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. |
|
|