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Inverse functions are two functions that "undo" each other. Formally stated, f(x) and g(x) are inverses if f(g(x)) = x. Multiplication and division are examples of two functions that are inverses of each other.

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Q: What is an inverse function in mathematics?
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Related questions

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).


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.


Is the inverse of an exponential function the quadratic function?

No. The inverse of an exponential function is a logarithmic function.


If an inverse function undoes the work of the original function the original function's becomes the inverse function's domain?

The original function's RANGE becomes the inverse function's domain.


What is the inverse function of -6?

-6 is a number, not a function and so there is not an inverse function.


What is the inverse of a cubic function?

The inverse of the cubic function is the cube root function.


Why is x squared a inverse function?

X squared is not an inverse function; it is a quadratic function.


Why are square roots important in mathematics?

Every operation in Mathematics needs to have an inverse. For addition, its inverse is subtraction (and vice versa) For multiplication, its division The inverse of squaring a number, is taking its square root.


What is the inverse function of add 6?

The inverse function means the opposite calculation. The inverse function of "add 6" would be "subtract 6".


What is a additive inverse?

In mathematics, the additive inverse of a numberais the number that, when addedtoa, yields zero. The additive inverse of 7 is -7.


If an inverse function undoes the work of the original function what does the original function's becomes the inverse function's domain?

Range


Does every function have an inverse that is a function?

No. A simple example of this is y = x2; the inverse is x = y2, which is not a function.