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The domain of the inverse of a relation is the range of the relation. Similarly, the range of the inverse of a relation is the domain of the relation.

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โˆ™ 2013-03-08 16:45:38
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Q: What is the domain of the inverse of a relation?
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Related questions

The domain of an inverse of a relation is the domain of the original relation true or false?

untrue


What is an inverse relationship between x and y?

That depends on the original relation. For any relation y = f(x) the domain is all acceptable values of x and the range, y, is all answers of the function. The inverse relation would take all y values of the original function, what was the range, and these become the domain for the inverse, these must produce answers which are a new range for this inverse, which must match the original domain. IE: the domain becomes the range and the range becomes the domain. Ex: y = x2 is the original relation the inverse is y = =/- square root x Rules to find the inverse are simple substitute x = y and y = x in the original and solve for the new y. The notation is the original relation if y = f(x) but the inverse is denoted as y = f -1(x), (the -1 is not used as an exponent, but is read as the word inverse)


What is the inverse of the given relation?

The inverse of the given relation is obtained through expressing it as 1 over that relation.


Is The domain of a function is the domain of its inverse.?

False. (APEX :))


What is a relation and its inverse relation whenever both relations are functions?

inverse function


What is the relationships between inverse functions?

The inverse of the inverse is the original function, so that the product of the two functions is equivalent to the identity function on the appropriate domain. The domain of a function is the range of the inverse function. The range of a function is the domain of the inverse function.


If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?

The original function's RANGE becomes the inverse function's domain.


What inverse relation means?

Two variables, X and Y, are in inverse relation if X*Y = a constant.


The inverse sine of 833?

Inverse sine is defined for the domain [-1, 1]. Since 833 is way outside this domain, the value is not defined.


Is the domain the x or the y axis?

The domain of a relation is the X axis.


If an inverse function undoes the work of the original function what does the original function's becomes the inverse function's domain?

Range


The differences between linear relation and inverse relation?

Can you tell me the definitions for these different kinds of relationships in statistics. direct, direct to the nth power, joint, inverse ane regress?


What is the domain of the inverse of sin?

X an element of real numbers


What is the set of all x values in a relation?

It is the domain of the relation.


Is xy equals 7 a inverse relation?

Yes.


If f-1(x)g(x) inverse then the domain of g(x) the range of f(x)?

If f(x) is the inverse of g(x) then the domain of g(x) and the range of f(x) are the same.


Which relation are function relation?

A relation is a mapping between two sets, a domain and a range. A function is a relationship which allocates, to each element of the domain, exactly one element of the range although several elements of the domain may be mapped to the same element in the range.


What is the function of relation domain and range in mathematics?

A relation is a mapping from elements of one set, called the domain, to elements of another set, called the range. The function of the three terms: relation, domain and range, is to define the parameters of a mapping which may or may not be a function.


What is the domain of a relation?

It is the set on which the relation is defined to the set which is known as the range.


How do you find a domain and range of a relation given by a set of order pairs?

Describe how to find the domain and range of a relation given by a set of ordered pairs.


When is a relation a function?

A relation is when the domain in the ordered pair (x) is different from the domain in all other ordered pairs. The range (y) can be the same and it still be a function.


Relation between pressure and velocity?

pressure and velocity - inverse proportional


Can the members of the domain be in the members of the range and be a function?

Yes, the domain must correspond to only one member of the range in order to be a function in a member of the domain goes to more than one member of the range it then is a relation and not a function A function is a relation but a relation isnt always a function


Which functions do not have an inverse?

y = x2 where the domain is the set of real numbers does not have an inverse, because the square root function is a one-two-two mapping (except at 0). Any polynomial with more than one root, over the reals, has no inverse. y = 1/x has no inverse across 0. But it is possible to define the domain so that each of these functions has an inverse. For example y = x2 where x is non-negative has the square root function as its inverse.


What are the inverses of hyperbolic functions?

If f(x)=y, then the inverse function solves for y when x=f(y). You may have to restrict the domain for the inverse function to be a function. Use this concept when finding the inverse of hyperbolic functions.

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