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29 September, 00:16

The composition of a function and its inverse is always

the answer is

'x'

+4
Answers (2)
  1. 29 September, 02:19
    0
    This is a true statement. An inverse function for a function f is an function such that it undoes the results of f.
  2. 29 September, 03:37
    0
    The given statement is true.

    Step-by-step explanation:

    An inverse function can be defined as a function that "reverses" another function: if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x, and vice versa, i. e., f (x) = y if and only if g (y) = x.

    Examples are x+2 and x-2

    WE get f (x) = x+2

    Apply g (x) = g (f (x)) = g (x+2)

    =x+2-2=x

    Thus by applying composiiton g f or fg in any order we get the answer as x

    THis is the property of any inverse function
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