When we can express the inverse of sum of two functions for example f =...

Jeffery Clements

Jeffery Clements

Answered

2022-06-25

When we can express the inverse of sum of two functions for example f = f 1 + f 2 in terms of inverse of two functions ( f 1 1 , f 2 1 )?

Answer & Explanation

drumette824ed

drumette824ed

Expert

2022-06-26Added 19 answers

There is no easy way to do so. (There is an obvious hard way: invert f 1 1 and f 2 1 to get f 1 and f 2 , sum these to get f and then invert.)
It can well happen that f 1 and f 2 are invertible but f is not. Or that neither of f 1 and f 2 is invertible but f is. And you can find an invertible function f 1 and a non-invertible function f 2 so that f is invertible — and another pair of such functions f 1 and f 2 so that f is not invertible.

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