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inverse function
[inverse function|inverse function] The graph of an inverse function is the reflection of the original function's graph across the line y = x.
Definition
inverse function The graph of an inverse function is the reflection of the original function's graph across the line y = x. The range of a function becomes the domain of its inverse function.
Mechanism
inverse function If f ( x ) = ( x − 1 ) 2 on [ 1 , ∞ ) , then the inverse function is f − 1 ( x ) = x + 1. Alternatively, if we want to name the inverse function g , then g ( 4 ) = 2 and g ( 1, 12 ) = 5.
Constraints
inverse function If we want to name the inverse function g, then g(4) = 2 and g(12) = 5.