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YouTube
youtube.com › the organic chemistry tutor
How To Find The Domain of a Function - Radicals, Fractions & Square Roots - Interval Notation - YouTube
This algebra video tutorial explains how to find the domain of a function that contains radicals, fractions, and square roots in the denominator using interv...
Published   September 8, 2017
Views   2M
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Mathematics LibreTexts
math.libretexts.org › bookshelves › algebra › college algebra 1e (openstax) › 3: functions
3.3: Domain and Range - Mathematics LibreTexts
October 6, 2021 - In interval form, the domain of f is \((−\infty,\infty)\). ... Identify the input values. Identify any restrictions on the input. If there is a denominator in the function’s formula, set the denominator equal to zero and solve for x .

set of "input" or argument values for which a function is defined

In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by ... {\displaystyle \operatorname {dom} f} , where f is the function. … Wikipedia
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Wikipedia
en.wikipedia.org › wiki › Domain_of_a_function
Domain of a function - Wikipedia
2 days ago - In mathematics, the domain of a function is the set of inputs accepted by the function. It is sometimes denoted by ... {\displaystyle \operatorname {dom} f} , where f is the function. In layman's terms, the domain of a function can generally be thought of as "what x can be".
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Cuemath
cuemath.com › calculus › domain-and-range-of-a-function
Domain and Range - From Graph | How to Find Domain and Range of a Function?
The domain is the set of all the input values of a function and the range is the possible output given by the function. Domain→ Function →Range. If there exists a function f: A →B such that every element of set A is mapped to elements ...
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University of Kentucky
ms.uky.edu › ma109 › studentguide › sec-domainformula.html
Domain from a Formula
Now, remember that we figured out where the denominator is equal to 0, which is where the problem is. However, the domain is everything that isn't a problem, so our domain will be everything except 1. That means we need to include all the numbers that are bigger than 1 and all the numbers that are less than 1, but just not 1 itself.
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Pressbooks
ecampusontario.pressbooks.pub › math3080prep › chapter › 2-2-finding-the-domain-of-a-function-defined-by-an-equation
2.2 Finding the Domain of a Function Defined by an Equation – Math 3080 Preparation
February 1, 2022 - Given a function written in an equation form that includes a fraction, find the domain. Identify the input values. Identify any restrictions on the input. If there is a denominator in the function’s formula, set the denominator equal to zero and solve for [latex]x[/latex]. If the function’s formula contains an even root, set the radicand greater than or equal to 0, and then solve.
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YouTube
youtube.com › watch
Domain and range of a function given a formula | Algebra II | Khan Academy - YouTube
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/algebra-home/alg-functions/alg...
Published   November 7, 2011
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Lumen Learning
courses.lumenlearning.com › waymakercollegealgebra › chapter › domain-and-range-of-functions
Write Domain and Range Given an Equation | College Algebra
Find the domain of the function: [latex]f\left(x\right)=5-x+{x}^{3}[/latex]. ... Identify the input values. Identify any restrictions on the input. If there is a denominator in the function’s formula, set the denominator equal to zero and solve for [latex]x[/latex] .
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Mathway
mathway.com › Calculator › find-the-domain
Find the Domain Calculator
The domain calculator allows to find the domain of functions and expressions and receive results in interval notation and set notation.
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House of Math
houseofmath.com › encyclopedia › functions › theory of functions › fundamentals of functions › how to calculate domain and range in math
How to Calculate Domain and Range in Math
The domain is then all values of · x except the · x-value of the vertical asymptote, in this case · x · = 1. You write this mathematically · You find the range · R · f by finding the horizontal asymptote. That is to say, the range is all real numbers except the horizontal asymptote. Since · f describes a hyperbola (as you can see from the function), you find the horizontal asymptote using the formula ·
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Wikihow
wikihow.com › education and communications › studying › mathematics › 7 ways to find the domain of a function - wikihow
7 Ways to Find the Domain of a Function - wikiHow
The domain of a function is the set of input values (x) for which the function produces an output value (y).
Published   July 18, 2024
Views   1K
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TikTok
tiktok.com › @everydaymathtips › video › 7198745797532355883
How to find the domain of an equation. #math #LearnOnTikTok #mathematics #mathtricks #domain #algebrahelp #algebra | TikTok
329 Likes, TikTok video from EverydayMathTips (@everydaymathtips): “How to find the domain of an equation. #math #LearnOnTikTok #mathematics #mathtricks #domain #algebrahelp #algebra”. How to Find Domain of a FunctionFinding domain of a functionMrs. Right - Mindless Behavior.
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Quora
quora.com › How-do-I-find-the-domain-of-an-equation
How to find the domain of an equation - Quora
Answer (1 of 2): Domain of a function: Suppose you are given a function f(x) then domain will be set of all the values that x can take. For eg. Take a function f(x)=5/(x-5) Now, if a function is defined for all real values, we are certain that ...
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AMSI
amsi.org.au › ESA_Senior_Years › SeniorTopic2 › 2b › 2b_2content_3.html
Content - Domains and ranges
That is, we can substitute any \(x\)-value into the formula to obtain a unique \(y\)-value. We therefore say that the natural domain of the functions \(y=x+2\), \(y=3x^2-7\), \(y=\sin x\) and \(y=2^x\) is the set of all real numbers, denoted by \(\mathbb{R}\).
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Lumen Learning
courses.lumenlearning.com › atd-sanjac-collegealgebra › chapter › find-the-domain-of-a-function-defined-by-an-equation
Find the domain of a function defined by an equation | College Algebra
Find the domain of the function: [latex]f\left(x\right)=5-x+{x}^{3}[/latex]. ... Identify the input values. Identify any restrictions on the input. If there is a denominator in the function’s formula, set the denominator equal to zero and solve for [latex]x[/latex] .
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BYJUS
byjus.com › maths › domain-codomain-range-functions
Domain Range and Codomain Of A Function
August 17, 2022 - The set of all possible values which qualify as inputs to a function is known as the domain of the function, or it can also be defined as the entire set of values possible for independent variables. The domain can be found in – the denominator of the fraction is not equal to zero and the digit under the square root bracket is positive.
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Mathway
mathway.com › Calculator › domain-range-calculator
Domain and Range Calculator | Mathway
The Domain and Range Calculator finds all possible x and y values for a given function.
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Reddit
reddit.com › r/learnmath › how do you find the domain of a function without graphing it?
r/learnmath on Reddit: How do you find the domain of a function without graphing it?
August 28, 2022 -

I've been looking at all sorts of tutorials and walkthroughs on youtube and math-online, but I really can't get it

Please explain to me like I'm the idiot I am :)

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technically the domain is part of the definition of a function and you can have different domains with the same functional equation for example we can have: f: R- to R with f(x)=1/x and g: R+ to R with g(x)=1/x so if I tell you h(x)=1/x you have no information about the domain however in applied math people usually just use a functional equation to represent a function and implicitely set the domain as the biggest possible subset within the real numbers so in the case of our example the function h can accept any real number except 0, hence its biggest possible domain is R \ {0} such that: h: R \ {0} to R with h(x)=1/x so the general strategy is to look for problematic values that cause division by zero or similar issues (like square root from negative numbers) and to exclude them consider for example: f(x)=sqrt(1-x2 ) in this case the problematic values are all x such that: 1-x2 <0 iff 1 < x2 iff 1 < |x| so the domain of f is all real numbers except those with an absolute values bigger than 1, which means only values between -1 and 1 are allowed: f: [-1, 1] to R, f(x)=sqrt(1-x2 )
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For most polynomials, you determine if there is a point that does not exists. For example, y = x/(x-1), you than see when x =1, you get 1/0 which doesn't exist. For y = tan(x), if you know your trig, this is sin(x)/cos(x), so try to solve for when cosx = 0. When x = pi/2, you get 1/0 again which dies not exist. Over time you will learn the domain of specific functions. For example, y= ln(x), the domain is x >0. This is something you either memorize or once you understand the application of ln(x) you intuitively know the domain.