Now you will use what you have learned to create a general test for determining whether two functions are inverses. If f (x) and g (x) are inverses, what will be the values of f (g (x)) and g (f (x)) ?

Question

Mathematics

Heidi Wilcox

12 December, 09:38

Now you will use what you have learned to create a general test for determining whether two functions are inverses. If f (x) and g (x) are inverses, what will be the values of f (g (x)) and g (f (x)) ?

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Abdiel Everett · Answer 1

The values of the 2 compound functions will be x.

For example if f (x) = x + 1 and g (x) = x - 1 then

f (g (x)) = (x - 1) + 1 = x

and g (f (x)) = x + 1 - 1 = x