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.
x=y is the identity. It is its own inverse. So the inverse is y=x.
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).
A reciprocal equation is usually y = k/x where k is a constant. This is an inverse relationship because y is equal to k divided by x.