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They are called involution functions.
All inverses are expressed as:
f-1(f(x)) = x for every x in f(x)'s domain.
Because of their unique property, involution functions are expressed simply as:
f(f(x)) = x for every x in f(x)'s domain.
An easy example is the reciprocal function f(x) = 1/x. If you do that twice, you get x.
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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.
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 of a cubic function?
The inverse of the cubic function is the cube root function.
If an inverse function undoes the work of the original function the original function's range becomes the inverse function's?
range TPate
Is an exponential function is the inverse of a logarithmic function?
No, an function only contains a certain amount of vertices; leaving a logarithmic function to NOT be the inverse of an exponential function.
