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What happens to the output when the function's input value is divided by 3 In the inverse variation function?
The output is three times as large.
Is a inverse also a function?
Yes, an inverse can be a function, but this depends on the original function being one-to-one (bijective). A one-to-one function has a unique output for every input, allowing for the existence of an inverse that also meets the criteria of a function. If the original function is not one-to-one, its inverse will not be a function, as it would map a single output to multiple inputs.
What is the inverse of a function and how do you represent it graphically and algebraically?
The inverse of a function reverses the input-output relationship, meaning if ( f(x) = y ), then the inverse ( f^{-1}(y) = x ). Graphically, the inverse of a function can be represented by reflecting the graph of the function across the line ( y = x ). Algebraically, to find the inverse, you solve the equation ( y = f(x) ) for ( x ) in terms of ( y ) and then interchange ( x ) and ( y ).
How does inverse function work?
Let's illustrate with an example. The square function takes a number as its input, and returns the square of a number. The opposite (inverse) function is the square root (input: any non-negative number; output: the square root). For example, the square of 3 is 9; the square root of 9 is 3. The idea, then, is that if you apply first a function, then its inverse, you get the original number back.
What happens when you compose two functions?
you use the output of the first function as the input of the second function.
In the inverse variation function what happens to the output when the function's input is halved?
The output is doubled.
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 function's input is multiplied by 3?
the output is divided by 3.
In the inverse variation function what happens to the output when the function's input value is divided by 3?
The output is tripled.
In the inverse variation function what happens to the output when the function's input value is divided by 5?
The output is multiplied by 5.
In the inverse variation function, what happens to the output when the function's input value is divided by 5?
The output is multiplied by 5.
In the inverse variation function what happens to the output when the function input value is divided by 3?
The output is multiplied by 3.
What happens to the output when the function's input value is divided by 3 In the inverse variation function?
The output is three times as large.
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 mathematical definition of inverse?
In mathematics, the inverse of a function is a function that "undoes" the original function. More formally, for a function f, its inverse function f^(-1) will produce the original input when applied to the output of f, and vice versa. Inverse functions are denoted by f^(-1)(x) or by using the notation f^(-1).
If a function uses variables other than x and y for its input and output variables you take the original equation and solve for the output variable to find the inverse?
False
