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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)
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Suppose that y varies with x Write an equation for the inverse variation y 4 when x 7?
If y varies with x, then there cannot be an inverse variation between x and y!
What is the inverse of y equals x?
To find the inverse simply switch the x's with the y's so... inverse of y=x is x=y
In an inverse relationship how do the values of y change as the values of x increase?
Y would decrease in value as X increases in value.
What is the inverse operation multiplying by 25?
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
If y14 then x8 find y when x12?
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.
What is observed in a scatter plot when there is an inverse relationship between x and y?
no
What is observed in a scatter-plot that has an inverse relationship between x and y?
A right hyperbola shape.
What happens when there is an inverse relationship between x and 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
Suppose that y varies with x Write an equation for the inverse variation y 4 when x 7?
If y varies with x, then there cannot be an inverse variation between x and y!
Is the relationship between x and y always linear?
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.
Which of the following is observed in a scatter plot when there is an inverse relationship between x and y?
Points slope down as it moves to the right
What is the inverse of y equals x?
To find the inverse simply switch the x's with the y's so... inverse of y=x is x=y
In an inverse relationship how do the values of y change as the values of x is decreased?
The value of y increases, such that x*y remains a constant.
What is a inverse realtionship?
In an inverse relationship, one variable decreases while the other increases. As an equation, a basic inverse relationship looks like x = 1/y.
What is an inverse relation and how do you find an inverse relation given a function?
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).
What is the inverse to the statement x equals y?
x=y is the identity. It is its own inverse. So the inverse is y=x.
What is an inverse relationship between two variables?
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.
