Domain Of A Function - Wikipedia ~ Press News

The domain is defined as the set of input values for which the function produces an output value. The proper notation for the domain is easy to learn, but it is important that you write it correctly to express the correct answer and get full points on assignments and tests.A-domain includes positive integers B- domain includes positive numbers C-domain includes all real. college alg. for the given functions f and g find the following and state the domain of each result f(x)=3x+1/8x-9; g(x)=5x/8x-9 (they look like fractions) A) (f+g)(x)=?what are the domain and range of f(x)=(1/5)^x. (B) The domain is all real numbers. Which statement best describes the domain and range of f(x) = -(7)x and g(x) = 7x? NOT C. Which graph represents an exponential function?I got a domain and range of: (-oo, 5) uu (5, oo), or x ne 5 (-oo, 1) uu (1, oo), or y ne 1 The function is undefined for x values when the denominator, x - 5, is 0; it's undefined to divide by 0. Therefore Since the domain is based on the allowed values of #x#, the domain is: #color(blue)((-oo,5) uu (5,oo))#.Finding the domain and range of different functions is often a matter of asking yourself, what values can this function not have? Example. Problem. Problem. What are the domain and range of the real-valued function `f(x) = -3x^2 + 6x + 1`? This is a quadratic function. There are no rational or radical...

What is domain?

I understand that the domain is typically defined as the set of objects for which a function is defined. So, given a function $f(x) = x$, how can I figure out its domain? EDIT. I am told that I should specify the domain and codomain as part of the definition of a function, and use something like $f: A \to B : x...Oftentimes, finding the domain of such functions involves remembering three different forms. First, if the function has no denominator or an even root Set the radicand greater than or equal to zero and solve for [latex]x[/latex]. The solution(s) are the domain of the function. If possible, write the answer...Is a Function. Domain. Range. f(x).What must be added to 3x - 9 to obtain 2x + 5? What is the difference between a recursive and an explicit representation of a sequence?

Graphing Exponential Functions QUIZ Flashcards | Quizlet

here is the detailed answer if any doubt just ask in the comment section . if this answer helped you in any way , upvote itQuestion: What Is The Domain Of F(x) 5x-7? (x |x Is A Real Number). This problem has been solved! See the answer.Domain, Codomain and Range. There are special names for what can go into , and what can come out of a function Example: we can define a function f(x)=2x with a domain and codomain of integers (because we say so). But by thinking about it we can see that the range (actual output values) is just...The domain of f is x is R (if imaginary roots are permitted, and there is nothing in the question to suggest otherwise). f(x)=5x Domain is any number for x that will provide a real number for f(x). In this function, x can be any real number, and f(x) will be a real number.The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. Interval Notation

PLEASE NOTE: Please use brackets when typing fractions on a unmarried line!

I am sure that you just imply to kind:

x-5

g(x) = ----- = (x-5) / (x-7)

x-7

reasonably than: g(x) = (x - (5/x)) - 7 , which is NOT defined for all x≤5.

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Range is what numbers come out whilst you installed the numbers from the domain, on your case:

x<5 or x=5 or x>7

First x=5: g(5) = (5-5) / (5-7) = ? is a number in the vary.

For x<5<7; what can you say about: (x-5) >0 or <0 and (x-7) >0 or <0. Hence the quotient (x-5)/(x-7) <0 or >0. Also compare (x-5) with (x-7) > or <. Divide by way of (x-7) keep in mind that dividing by way of a damaging reverses the inequality to get: (x-5)/(x-7)<? That gives you the range of numbers ??<g(x)<? from x<5.

For x>7>5; what can you say about: (x-5) >0 or <0 and (x-7) >0 or <0. Now compare (x-5) with (x-7) > or <. Divide by way of (x-7) to get: (x-5)/(x-7)>? That provides you with the vary of numbers:g(x)>? from x>7. Notice that, for x on the subject of 7, the denominator (x-7) is close to 0, and so the fraction turns into arbitrarily large: the vary of g(x) is unbounded above.

Putting all those together, the range is two intervals, one open and one half-open.

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For the domain of g(f(x)): Too easy. What is the domain of g(x)? Just substitute "x" with (*7*), which is just √(x-3), and simplify. And don't put out of your mind x≥3.