The composition of a function and its inverse is always

the answer is

'x'

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

This is a true statement. An inverse function for a function f is an function such that it undoes the results of f.