Domain Definition and 704 Threads

Can the domain of f'(x) be larger than the domain of f(x)? Here's my work, as per the rules:smile: The problem I'm working on states f(x) = x + √x and says to find f'(x), the domain of f(x), and the domain of f'(x). I found that f'(x)=1, so I want to say that its domain is all real...

I am doing a bit of complex analysis and there is a definition: An open connected subset of C is called a domain. Why do they choose open instead of closed? Why not include a closed connected subset of C be a domain also?

I'm confused on this domain question 10/ln x I really don't know where to start. Do I graph it and then go from there? :confused:

Here is the problem again x^2-6x+9 / x^2 I think the answer is "all real numbers", but I don't know. I'm not used to seeing only x^2. Most of the ones I have done are x^2 - 4 or something like that.

Please can anybody help me on this two functions it confuse me because has two and thee variables. Find the Domain and Range of each of the following functions a)f(x,x)=\sqrt{\frac{x-y}{x+y}} b)f(x,y)=\[in{(x^2+y^2+z^2)}

Any explanation would be great. Also, are there any examples of finite Integral domains that aren't fields?

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I have a homework problem that goes something like this: There's a circuit, A capacitor in parallel with a resistor, and those two are in series with another resistor. The values of the resistors are given, but the capacitor's is not. Then its given that Z(s) of the circuit equals some...

Please Help! Let f be the function given by f(x)=2x/sqrt(x^2+x+1) a)Find the domain for f. Justify your answer. b)Write an equation for each horizontal asymptote of the graph f. c)Find the range of f. Use f'(x) to justify your answer. Note: f'(x)=(x+2)/(x^2 +x+1)^.5 Please help...

I have this inequality: 4x^2 - 160x + 1500 \le 900 I brought the 900 to the LHS and found the roots (35.81, 4.19). Now I just need the domain of integral values that satisfy. Can I say 5 \le x \le 35?

The switch in the following circuit has been close for a long time and is opened at t = 0. Transform the circuit into the s doman and solve for Isubl(s) and Isubl(t) in symbolic form. I've only found Isubl(s) so far, and I want to see how I'm doing before I convert it back to the time...

What does it mean to have something in the "public domain" Someone noted in another thread that when something is printed in the newspaper, it is free to use by all and is in the public domain. Obviously this isn't true but i was wondering what is the legal requirements for something to be...

diagram: http://img.photobucket.com/albums/v629/ussjt/math3.jpg A thin equilateral triangular block of the side length 1 unit has its face in the vertical xy-plane with vertex V at the origin. Under the influence of gravity, it will rotate about V until a side hits the x-axis floor (see...

I have a couple of questions regarding the representation of a signal in the frequency domain I wish someone could help me with.. 1-why is it when we represent a non-periodic signal in the frequency domain it is continuous while the frequency domain of a periodic signal is discrete ...

I know this is a physics forum but I've got a quick question about a Euchlidean domain: Assuming that 1 - \sqrt {-7} and 2 are irreduclible, explain why Z[-7] is not a euchlidean domain? This is a pure maths question and I've asked questions about other pure maths courses and got decent...

In the domain type as I see, they say About hosting service they say Is that cheap ? I only want to buy a domain and then build a homepage introducing about me, nothing more. Thank you

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Could someone find the domain, intercepts, asymptotes, critical numbers, local min and max, absolute min and max, concavity, and inflection points of the function: (2+x-x^2)/((x-1)^2) Thank you it would be much appreciated

I downloade a forum but how can i see my forum on my computer. I not register web host/ domain yet. I want to play with it on my computers first. Can u tell me how to do that, what should I download and where should I put my forums so I can see my forums as I want to see my forums on my computer...

Find the domain of the vector functions, r(t), listed below a.) r(t) = <ln(6t), sqrt(t+14), 1/sqrt(16-t)> i don't extactly know how to approach this, can someone give me a hint or two

y=-2\tan (3x+\pi) +3 state the following period = \frac {\pi} {3} y-intercept=3 Range = {y: yER} Domain= {x: ?} Symmetry? Vertical Asymptotes? Zeros? Can someone please tell me how to figure out what is left there are so many zeroes and i can't read them off of my...

hi, the question I am working on is this: If f:A-->B and the range of f is uncountable, prove that the domain of f is uncountable. Intuitively this seems to be true. If the range is uncountable, then function has to map an uncountable number of elements from the domain to the range. I don't...

What is all this hubub about eminate domain and the Supreme Court? :rolleyes:

I don't know why there is such hatred against the approval of the dot-xxx domain. Personally I think that it is a great idea because the whole idea of domains is to categorize websites, right? Getting all adult content on this domain is another challenge but it's a good call.

Does a Quantum System know about an observer before the Observer can know about the Quantum System? Quantum domains are small, Macro Domains are larger,so when one looks from a Macro Domain to one that is smaller(Quantum) one first has to locate the Quantum System to be observed, then because...

I'm trying to prooduce a plot of a root locus for an open loop transfer function. The transfer function is in the z-domain, with a gain K. I've already solved for the charectoristic equation of the system by hand. But, how do I use Matlab to plot the root locus of a transfer function in...

A weird domain and range? anybody up for a challenge y=x^2-2x+1 / x^2-x-2 try it on the gfx calculator and check if this domain and range is right i wrote Domain ( -infinity, -1 ) union (-1,2) union ( 2, infinity) range (-infity, 0) union (-1 to infity) is there an easier way to...

can anyone help me find the natural domain and range of f(x) = 1 - log_3x *the whole equation is under a square root sign, its just a couldn't latex it

domain and range question! Hi, I have a quick domain and range question, I have placed my answer below the question. I'm having doubts that it is right! Can someone please help me verify it. Thanks in advance! _____ Let f(x)= x² + 2 and g(x) =√1-x²...

I'm having a bit of difficulty plotting y=\left( \frac{3}{2} \right) ^{1/3} \arcsin ^{2/3} x \qquad -1 < x < 1 I don't know how to work around the problem associated with the domain of \arcsin x. Is there any way to do it? Any help is highly appreciated.

what is the average size of a domain? and how are "permanent" magnets made? thanks, erin.

2-2\sin^2(\theta)=\cos (\theta) I need to solve this quadratic trig equation algebraically of the domain 0<=x<=2pi I know how to do that but in order to solve the trig functions have to be the same I'm having a little trouble how do I change the cos into sin? It's not cos^2 so we can't use...

How do you find the domain just by looking at the equation? ex1) x^2/ x^4+4x-5 2) t/√(t^2-5t+6) 3) √[2-√(4-x)]

y=logx4 state domain and range, x-intercept, vertical asymptote. I have never seen a question like this before. Please help me!

This is not a Bode plot question, but similar. I have data on the laplace transform of a tracer response at different times, "t". I want to plot the response against "s". Since the Laplace transform of t is 1/s^2, do I convert to "s" by s=(1/t)^.5?

I am asked to calculate the double integral of the function f(x,y) = (2x+3y)^2 = 4x^2 + 12xy + 9y^2 on the domain defined by a triangle whose summits(?) are at (-1,0), (0,1) and (1,0). I chose to integrate from left to right. So the bounds of my integral are \int_0^1 \int_{y-1}^{1-y}...

I was given the equation y=2(3^x)-1 and told to state the domain, range, x and y intercepts and asymptotes. I graphed the eqn and got the x-intercept to =-0.63 and the y-intercept=1 the vertical asymptote is the same as x-intercept so =-0.63 and the horizontal asymptote always equals 0...

I was given the equation y=2(3^x)-1 and was told state the domain, range, x-intercept(s) y-intercept(s) and asymptote(s) I graphed the equation and I think the x-intercept is -0.63 I subbed in 0 for the x value on the graphing calculator and got y-intercept=1 the vertical asymptote is the...

I bought the domain www.utoe.org threw web.com and I have no Idea how to redirect the url to the one where I have my site hosted? could someone help me.

I'm a little confused here. I have a function: f(x) = x^2 + 3 If the domain of the function is -3 <= x <= 3 I need to find the range... I think that the answer is 3 <= y <= 12... that can be found out by drawing the graph. But I want to find the range algebraically. It says in my...

In class today we were doing a problem where we were given the graph of f (the derivitive of F). The domain was -3<x < or = 8 f(8)=0 and f had changed from positive <8 to 0, indicating a probable relative max (the function looked like a sinusoid, but the points after 8 were not graphed...

This is my first encounter with this function. In the question at hand it's defined as A(x) = 1 + x^3/(2)(3) + x^6/(2)(3)(5)(6) + x^9/(2)(3)(5)(6)(8)(9) + ... and on like that to infinity. The question is to find the domain of this function. Here's what I have so far. The domain would mean...

Finding the domain is easy with a graphing calculator but what if I was to do it without one. Is there a way to do it? How would I find the domain of f(x)=(x-1)/(x^2+1)

If f(x)=x/(x-1) and g(x)=1/(x+3) what is the domain and range of (f.g)(x) and (f/g)(x)? Are the domains the same? I got: Domain of f is all x not equal to 1 or -3. The range is all real numbers. x/(x-1)(x+3) Domain of g is all x not equal to 1, but it can't be equal to -3 either because...

Two functions are said to be equal if they ahve the same domain and, for each value in the domain set, the function values are equal respectively. F = {(2,3),(3,4),(4,5) G = {(3,4),(4,5),(2,3) The domain sets are equal, and f(x) = g(x) for each corresponding value of the domain. Tow...

Find the domain? How would I go about finding the domain of: 15x^2 + 3x - sqrt2 (x) trip7

my previous calculus teacher stressed finding the domain of a composite function; he stressed more of finding which areas were not part of the function by means of three circles and saying the function didn't pass to the other circle unless it met the range of the other function. The textbook...

Questoin...I have allways done these by evaluating (F 0f G)(x) ...then finding the domain of G and then useing a graphing calculator to find the domain of the whole thing as a function. My question is how do you algebracially fine the domain of the function after you find the domain of G int the...

Good day to all the members on the forum site. I'm currently a Grade 12 student and I'll probably be needing help...not daily, but on days that I really need it. So I only have 1 question today: What is the environmental significance for the amount of fossil fuel use? If someone could...

If f(x) = square root of x and g(x) = x + 1, then: 1. What is f+g(x)? 2. Domain of f+g(x)? 3. What is f(g(x))? 4. What is the domain of f(g(x))? I put: 1. square root of x + x + 1 2. x >= 0 3. square root of x + 1 4. All real numbers? Thanks.