The composition of a function and its inverse is always __________.

Mathematics

2 answers:

polet [3.4K]3 years ago

6 0

Answer:

Answer:

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

Step-by-step explanation:

Nadya [2.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

It was corrected on E2020.

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