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 function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
If y varies with x, then there cannot be an inverse variation between x and y!
Y would decrease in value as X increases in value.
The inverse of multiplication is division. y = 25x Substitute y for x and x for y to determine the inverse: x = 25y y = x/25
It is not possible to answer the question since there is no information as to whether the relationship between x and y is one of direct proportion, inverse proportion or something else.
no
A right hyperbola shape.
The inverse of the function y = x is denoted as y = x. The inverse function essentially swaps the roles of x and y, so the inverse of y = x is x = y. In other words, the inverse function of y = x is the function x = y.
x goes up by 1,2,3,4, etc. and y goes up at a steady rate in the graph its a stright line
If y varies with x, then there cannot be an inverse variation between x and y!
The relationship between X and Y is linear only if it is of a form: Y=mX+b, or Y=(m/X)+b If they are related in other forms, such as: Y=X2, or Y=nX5+mX3+b, or Y= SQRT(X), or Y= COS (X), or many other relationships, it is not linear. * * * * * Nearly correct. Y=(m/X)+b is not a linear relationship but a [translated] inverse relationship. The curve of the graph is a hyperbola, not a straight line.
Points slope down as it moves to the right
The value of y increases, such that x*y remains a constant.
In an inverse relationship, one variable decreases while the other increases. As an equation, a basic inverse relationship looks like x = 1/y.
Given a function that is one-to-one and onto (a bijection), an inverse relationship is a function that reverses the action of the first function.A simple example to illustrate:if f(x) = x + 2, then g(x) = x - 2 is its inverse. fg(x) = x = gf(x).To find an inverse relationship of a function f(x)write y = f(x) as a function of xswap x and ymake the [new] y the subject of the formulathat is the inverse function.Going back to f(x) = x + 2write y = x + 2swap: x = y + 2make y the subject of the above equation: y = x - 2and so f'(x) is x - 2 where f'(x) represent the inverse of f(x).
An inverse relationship is one in which as the value of one variable increases, the value of the second variable decreases. For example, in the equation y = 1/x, as y gets bigger, x gets smaller and as x gets bigger, y gets smaller.
x=y is the identity. It is its own inverse. So the inverse is y=x.