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5 votes
The composition of a function and its inverse is always
the answer is
'x'

User Cvuorinen
by
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2 Answers

4 votes
This is a true statement. An inverse function for a function f is an function such that it undoes the results of f.
User Dion Segijn
by
7.9k points
2 votes

Answer:

The given statement is true.

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

User Samyer
by
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