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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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What is the inverse of y equals x?
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.
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!
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.
