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Q: What is the domain of the inverse of a relation?

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untrue

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)

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

False. (APEX :))

inverse function

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.

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

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

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

The domain of a relation is the X axis.

Range

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

X an element of real numbers

It is the domain of the relation.

Yes.

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

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.

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.

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

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

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.

pressure and velocity - inverse proportional

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

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.

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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