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Can you can use rational functions to study the relationships of inverse variation?
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What is the relationships between inverse functions?
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.
In the inverse variation function what happens to the output when the functions input is doubled?
the output is halved
What are the two types of inverse functions?
These are the for inverse operations:Multiplications inverse is divisionDivisions inverse is multiplicationAdditions inverse is subtractionSubtractions inverse is addition
What is inverse variation in algebra?
x=yr
Is inverse of a function always positive?
No.Some functions have no inverse.
You can use rational functions to study the relationships of inverse variation?
True
IS the rational function to study the relationships of inverse variation?
A study of inverse relationships is one of a very large number of uses for rational functions. Only a rational function of a very special kind will be of any use.
Can you use rational functions to study relationship of inverse variation?
yes
What is the relationships between inverse functions?
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.
In the inverse variation function what happens to the output when the functions input is doubled?
the output is halved
In the inverse variation function what happens to the output when the functions input is multiplied by 3?
the output is divided by 3.
In the inverse variation function what happens to the output when the functions input value is multiplied by 4?
the output is divided by 4
What is the inverse variation?
The inverse variation is the indirect relationship between two variables. The form of the inverse variation is xy = k where k is any real constant.
How do you do a direct variation with an inverse variation problem?
If a variable X is in inverse variation with a variable Y, then it is in direct variation with the variable (1/Y).
Is the product of a number and its multiplicative inverse always a rational number?
If the multiplicative inverse exists then, by definition, the product is 1 which is rational.
Is the inverse of a rational number also rational?
Always, unless the original number is zero. This does not have an inverse.
Find the constant variation k for the inverse variation then write an equation for the inverse variation y 2.5 when x 9?
The equation is xy = 22.5
