.
.
Math Central - mathcentral.uregina.ca
Quandaries & Queries
Q & Q
. .
topic card  

Topic:

domain

list of
topics
. .
start over

49 items are filed under this topic.
 
Page
1/1
The inverse of y = x(x - 2) 2016-12-21
From Sasha:
Hello, I recently stumbled upon this question and I haven't been able to figure it out.

Why is the inverse of y=x(x-2) not a function?

Suggest a domain restriction which would ensure that the inverse is a function.

Thank You :)

Answered by Penny Nom.
The domain and range of a function 2016-02-19
From Genius:
State the domain and range g(x)=x(x-1)
Answered by Penny Nom.
The range of a function with a finite domain 2016-01-25
From Hannah:
Solve y=(1⁄4)x-1 if the domain is (-4,-2,0,2,4). I don't get how to do this. Can anyone help?
Answered by Penny Nom.
The domain of cos2x/(sinx-2) 2015-11-02
From Ameen:
Find the domain of:
f(x) = cos2x/(sinx-2)

Answered by Penny Nom.
A quadratic equation 2013-11-27
From corinanna:
Hi,
How do you find a quadratic equation given the domain & range, & or the y-intercept?

Answered by Penny Nom.
The domain of a derivative 2013-10-10
From Renee:
I am looking to find the domain of a derivative of a radical function, one such as: f(x) = the square root of (8 − x).
I am kind of unclear on how domains work for derivative. I don't understand how you take a function's domain and use that to find the derivative's domain.
Thanks!

Answered by Penny Nom.
What is the domain of f(x)=sin(ln(x))/ln(x)? 2013-02-06
From Behrooz:
Hi, the following problem may be interesting: What is the domain of f(x)=sin(ln(x))/ln(x)? Be careful, domain is not obvious. Best regards Behrooz
Answered by Penny Nom.
Domain and range 2012-08-09
From Lucy:
Can two different functions have the same domain and range? Why or why not?
Answered by Penny Nom.
The domain of a function 2011-05-08
From Minks:
(x^2 + 1 / x^2 +2x - 3 ) X ( x^2 -9 / x^2 - 2x - 3)
Answered by Penny Nom.
Log[f(x)] 2010-03-08
From sourabh:
What is the number of solutions of the equation 9 x 2 - 18 x + 5 = 0 for x, such that the expression log10[(x+1)(x+2)] exists?
Answered by Harley Weston.
The domain, range and inverse of a relation 2010-01-08
From Nazrul:
Given that A={-2,-1,0,1,2}, S={(x,y): x belongs to A, y belongs to A and y^2=x}. How can I find the domain and range of the relation S. What is the inverse relation of S. Please show me the process in details. Thank you.
Answered by Penny Nom.
y = sin(x) + 3 2009-11-10
From Kapilan:
When graphing trigonometric functions like SIN and COSINE does f(x)=x squared equal to SIN or COSINE

Also what is the range, domain, period and ampliltude for y=sin@ + 3

Answered by Harley Weston.
Domain and range 2009-09-11
From Aubrey:
I'm supposed to "state the domain/range of each of the following relations" and it's totally not making sense...

Examples:

{(x,y) : x = square root of y}

{(x,y) : y = x + 1, x is some even integer}

Thanks in advance!!

Aubrey

Answered by Robert Dawson.
Range and Domain of a Star 2009-05-14
From Larry:
I am an old teacher trying to help my grandson. He has to draw a structure to scale and then determine the function, domain and range. One line on the structure is from (0,8) to (-8,-4). I used the intercept method and found the function to by y=1.5x +8 (I think) but can't find the range and domain) Thanks
Answered by Janice Cotcher.
What is the domain of the function (3x+4)/(x^2+5x+6)? 2008-12-15
From Robert:
What is the domain of the function (3x+4)/x^2+5x+6
Answered by Harley Weston.
Quadratic equations arising from practical problems 2008-11-24
From Lenval:
Why do quadratic equations arising from practical problems often give physically impossible solutions such as negative distances, negative times or, say, a polygon with a negative number of sides? For example: "A river in flood carries a tree t-squared - 23t metres downstream in t seconds. How long does it take for the tree to be carried 50 metres downstream?" This gives t=25 and t=-2. Please explain the second 'solution', which is not physically possible.
Answered by Chris Fisher and Victoria West.
Domain and range 2008-09-16
From Cara:
Please help me to find the domain and range of the following function:

F(x)=sin(2x)

Answered by Harley Weston.
What is the domain of (f/g)x? 2008-07-28
From Warren:
If f(x)=3x-5 and g(x) = square root of x-5, what is the domain of (f/g)x?
Answered by Penny Nom.
Domain and range 2008-07-23
From Cane:
Hi, my name is Cane and i am stuck on this problem. Find the doman and range then graph.

y= square root of(x squared - 6x) + Square root of(6x - x squared)

Answered by Harley Weston.
Domain & Range of a Periodic Function 2008-07-11
From Michelle:
The depth, w metres, of water in a lake can be modelled by the function, w=5sin(31.5n+63) +12 where n is the number of months since January 1, 1995. Identify and explain the restrictions on the domain and range of this function.
Answered by Janice Cotcher.
Domain and range 2008-07-07
From marylie:
what is the domain and range of f(x)= -sq.rootof x ^2-4??tnx
Answered by Harley Weston.
Two function problems 2008-04-10
From keith:
find the domain: F(x)= 1/ {ln (x+5) - ln (7-x)}

find the inverse: g(t)= sqrt {2-3 ln (1-t)}

Answered by Penny Nom.
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 domains

Answered by Penny Nom.
The range of a function 2008-02-10
From Rachel:
How do I find the range of this function?

(3x^3-2x^2+6x-7)/(x^2-3x-4)

Answered by Harley Weston.
The domain and range of a function 2008-02-05
From Victoria:
Please...Please...Please tell me how to find domain and range. Every text and website i have gone to does not make any sense to me! Below are two example problems i found on a website...

f(x) = (8x-3)/(4x-1)

and

y = 2x+1

Please explain step by step how to find the domain and range.

Answered by Penny Nom.
The range of a function 2007-11-12
From Camille:
Hi There,

I am taking a calculus class by correspondence and part of the introduction is learning how to find domain and range of functions. I understand how to find the domain. I also understand that if you find the inverse of the equation and solve for x to find the domain it will give you the range because the domain of the inverse is equivalent to the range of the original equation. However when trying to apply this method to complicated questions (ie: square root in the denominator) I get confused and can't solve for x.

Camille

Answered by Harley Weston.
Domain and range 2007-10-12
From Dawn:
Hi, I've been out of school for 8 years and recently picked up a math correspondence course. I'm having trouble trying to figure out the range and domain of a linear function. I've read everything I can find in my text, lessons and on your site and I still can't figure out what I'm suppose to be doing. The function is y=2x+1. Please help.
Answered by Penny Nom.
The domain and range of a quadratic function 2007-07-17
From Linda:
I have been trying to solve this problem but I'm unable to figure it out. How do I find the domain and range of y=-(x+1)^2-3? Please explain...thanks!
Answered by Stephen La Rocque and Penny Nom.
Interval of the domain 2007-05-13
From Gale:
What does the term interval of the domain mean?
Answered by Penny Nom and Stephen La Rocque.
Finding domains using number lines 2007-02-25
From Saher:
Discuss domain of the function, f(x)= (x+1)(x-2) / (x+3), with the entire thing under a square root.

I'm being taught how to find the domain using the number line. Our teacher says that there are 5-6 choices, but I get stuck somewhere around 2, and I don't know how to give my answers after I've obtained the first one, which seems to be (3, infinity). HELP!! Thank you

Answered by Stephen La Rocque.
Input-output table 2007-01-10
From Richard:
Question is make an input - output table for the function using the domain 0,1,2,3,4, Then state the range of the function.

y =x + 8 ?

y =0.4x +3 ?

Answered by Penny Nom.
The domain of a function 2006-11-15
From April:
Determine the domain of the function h(x) = 4x/x(x^2-49)
Answered by Stephen La Rocque.
Domain and range 2006-03-08
From Jennifer:
How do I find the domain of x-2y=1 if the range is {-2,0,5,8}
Answered by Penny Nom.
The range of a function 2005-08-21
From Kelsey:
What is the range of the function f(x) = 4x - 6 when the domain is {-3,-1,1,3,5}?
Answered by Penny Nom.
Domain and range 2004-08-01
From JJ:
I'm checking domain and ranges of these functions. Are these right?
Answered by Penny Nom.
Domain of a function 2003-10-14
From Karim:
Find the Domain of the Function
H(x) = Log3 (4x + 7)-10
H(x) = log base 3 times 4X plus 7 minus 10
i am having problem solving these kinds of problems.

Answered by Penny Nom.
The domain of 1/g(x) - 5 2003-07-03
From Barbara:
If the range of g(x) is ( neg. infinity,4] and the domain of g(x) is ( neg. infinity, infinity), how do I find the domain of 1/g(x) - 5?
Answered by Penny Nom.
Domain of a function 2002-07-20
From Andy:
I'm having difficulty in finding the domain of

1/(x2 -2x + 4)

one over x squared minus 2 x plus 4.


Answered by Penny Nom.
Functions and relations 2002-04-25
From Erin:
Here's a few math problems that might drive a person insane ;)
  1. If 2f(x) - 3f(1/x) = x^2 what is f(2)?

  2. What are the domain and range of the following relations?
    • x^2 - 4y^2 = 25
    • 4x^2 + 9y^2 = 36

  3. The port of Swan Harbor is 200km away from Merry Town Inlet on a bearing of N50E from Merry Town. A ship leaves Merry Town at 8am and sails N15W at 15 km/h. At the same time, a second ship leaves Swan Harbour on a course of S80W at 20km/hour. How close, to the nearest km, are the two ships at 13:00?

  4. Prove the identity. 1+sinx + cosx/ 1-sinx + cosx = 1+sinx / cosx

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.
The domain of a function 2001-04-08
From Mina:
Let f(x) = (2x2+3x-17)/(x+5)
What is the domain of f? What are the values of x for which f'(x) does not = 0?

Answered by Harley Weston.
Domain and Range and Zeros 2001-02-27
From Beth:
1. f(x)=15-2x-x2

2. g(t)=square root of 4-t2

3. y=t-3/t2-t-6


Answered by Penny Nom.
The domain of the derivative 2001-02-22
From Wayne:
I know that the domain of f'(x) is a subset of the domain of f(x). Is it necessarily true that the subset will have at most one less element than the domain of the original function?
Answered by Harley Wesston.
Range of a function 2000-11-21
From David Bell:
Given a rational function such as f(x) = (8x-3)/(4x-1). How can the range be found.
Answered by Penny Nom.
Domain of a function 2000-11-15
From Mickey:
state any restrictions on the domain of the function.

y = 5x - 12 over 27x + 6 x does not equal what________?


Answered by Penny Nom.
An equation involving x to the x 2000-07-22
From Joy Peter:
I am joy, a teacher teaching Maths at the secondary level and while solving a sum came to this stage when i got xx (1 + log x) = 0, by which we can conclude that xx = 0 or 1 + log x = 0. If xx = 0, than what should be the value of x? I feel that the value of x should then be 0 (zero) but then how do I explain this to the students as we also know that anything to the power of 0 is 1 but here 0 raised to 0 is 1. If this is not defined then how do I explain this?
Answered by Penny Nom.
Domain of a function 2000-01-19
From Stacey Hutchison:

What is the domain of:

f(x) = -1/(x + 4)


Answered by Patrick Maidorn.
Domain and Range of a Function 1999-11-14
From Michelle Mellott:
How do you find the range of the following function:

2y2/(y2+5y+6)??

I know the domain is x not equalled to -2, -3. How can one easily find the range?
Answered by Harley Weston.

The Range of a Function. 1997-09-12
From Karel Marek:
Math Is Book 6 (Ebos/Tuck) question 5(b) gives a surprising answer at the back of the book..

The question is:
Indicate the domain and range for this: y = sqr(x-9) (Square root of)

The answer for the domain is x>=9 which is not surprisingly, but the range is y>=0, yER ... which I could understand if you were not allowed to transform the equation into x as the subject..

But all example on the facing page DO TRANSFORM the equation at will with x and/or y as the subject..

Can you explain this...
??
Answered by Chris Fisher.

 
Page
1/1

 

 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences.

CMS
.

 

Home Resource Room Home Resource Room Quandaries and Queries Mathematics with a Human Face About Math Central Problem of the Month Math Beyond School Outreach Activities Teacher's Bulletin Board Canadian Mathematical Society University of Regina PIMS